{"id":24769,"date":"2021-06-21T10:34:09","date_gmt":"2021-06-21T05:04:09","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=24769"},"modified":"2021-06-21T10:34:09","modified_gmt":"2021-06-21T05:04:09","slug":"ncert-solutions-for-class-10-maths-chapter-1-in-hindi","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium)"},"content":{"rendered":"<h2>NCERT Solutions for Class 10 Maths Chapter 1\u00a0Real Numbers (Hindi Medium)<\/h2>\n<p>These Solutions are part of <a href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths\/\">NCERT Solutions for Class 10 Maths in Hindi Medium<\/a>. Here we have given NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers.<\/p>\n<p><strong>Chapter 1. \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901<\/strong><\/p>\n<div>\n<p><span style=\"color: #0000ff;\"><strong>\u0905\u092d\u094d\u092f\u093e\u0938 1.1<\/strong><\/span><\/p>\n<p><strong>Ex 1.1 Class 10 \u0917\u0923\u093f\u0924 \u092a\u094d\u0930.1. \u092f\u0941\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u0905\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0947 \u092a\u094d\u0930\u092f\u094b\u0917 \u0938\u0947 HCF \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u092f\u0947 |\u00a0<\/strong><\/p>\n<p><strong>\u00a0(i) 135 \u0914\u0930 225 (ii) 196 \u0914\u0930 38220 (iii) 867 \u0914\u0930 255<\/strong><\/p>\n<p><strong>\u0939\u0932: \u00a0<\/strong><\/p>\n<p><strong>(1) \u00a0\u00a0 135 \u0914\u0930 225<\/strong><\/p>\n<p>a = 225, b = 135 {\u0938\u092c\u0938\u0947 \u092c\u095c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b\u00a0a\u00a0\u0924\u0925\u093e \u0938\u092c\u0938\u0947 \u091b\u094b\u091f\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b\u00a0b\u00a0\u092e\u093e\u0928\u0924\u0947 \u0939\u0948\u00a0}<\/p>\n<p>\u092f\u0941\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u0905\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0947 \u092a\u094d\u0930\u092f\u094b\u0917 \u0938\u0947<\/p>\n<p>a = bq + r (\u0924\u092c)<\/p>\n<p>225 = 135 \u00d71 + 90<\/p>\n<p>135 = 90 \u00d71 + 45<\/p>\n<p>90 = 45 \u00d7 2 + 0 {\u091c\u092c \u0939\u092e\u0947\u0902\u00a0r=0\u00a0\u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0939\u092e \u0906\u0917\u0947 \u0939\u0932 \u0915\u0930\u0928\u093e \u092c\u0902\u0926 \u0915\u0930 \u0926\u0947\u0924\u0947 \u0939\u0948\u00a0}<\/p>\n<p>b = 45 {\u092b\u093f\u0930 \u0909\u0938\u092e\u0947 \u0938\u0947\u00a0b\u00a0\u0915\u093e \u092e\u093e\u0928\u00a0HCF\u00a0\u0939\u094b\u0924\u093e \u0939\u0948;}<\/p>\n<p>HCF = 45<\/p>\n<p>\u0939\u0932:<\/p>\n<p><strong>(ii) \u00a0\u00a0 196 \u0914\u0930 38220<\/strong><\/p>\n<p>a = 38220, b = 196\u00a0\u00a0{\u0938\u092c\u0938\u0947 \u092c\u095c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b\u00a0a\u00a0\u0924\u0925\u093e \u0938\u092c\u0938\u0947 \u091b\u094b\u091f\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b\u00a0b\u00a0\u092e\u093e\u0928\u0924\u0947 \u0939\u0948\u00a0}<\/p>\n<p>\u092f\u0941\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u0905\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0947 \u092a\u094d\u0930\u092f\u094b\u0917 \u0938\u0947<\/p>\n<p>a = bq + r (\u0924\u092c)<\/p>\n<p>38220= 196 \u00d7195 + 0 \u00a0{\u091c\u092c \u0939\u092e\u0947\u0902\u00a0r=0\u00a0\u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0939\u092e \u0906\u0917\u0947 \u0939\u0932 \u0915\u0930\u0928\u093e \u092c\u0902\u0926 \u0915\u0930 \u0926\u0947\u0924\u0947 \u0939\u0948\u00a0}<\/p>\n<p>b = 196\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{\u092b\u093f\u0930 \u0909\u0938\u092e\u0947 \u0938\u0947\u00a0b\u00a0\u0915\u093e \u092e\u093e\u0928\u00a0HCF\u00a0\u0939\u094b\u0924\u093e \u0939\u0948;}<\/p>\n<p>HCF = 196<\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p><strong>(iii) \u00a0 867 \u0914\u0930 255<\/strong><\/p>\n<p>a = 867, b = 255 {\u0938\u092c\u0938\u0947 \u092c\u095c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b\u00a0a\u00a0\u0924\u0925\u093e \u0938\u092c\u0938\u0947 \u091b\u094b\u091f\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b\u00a0b\u00a0\u092e\u093e\u0928\u0924\u0947 \u0939\u0948\u00a0}<\/p>\n<p>\u092f\u0941\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u0905\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0947 \u092a\u094d\u0930\u092f\u094b\u0917 \u0938\u0947<\/p>\n<p>a = bq + r (\u0924\u092c)<\/p>\n<p>38220= 196 \u00d7195 + 0 {\u091c\u092c \u0939\u092e\u0947\u0902\u00a0r=0\u00a0\u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0939\u092e \u0906\u0917\u0947 \u0939\u0932 \u0915\u0930\u0928\u093e \u092c\u0902\u0926 \u0915\u0930 \u0926\u0947\u0924\u0947 \u0939\u0948\u00a0}<\/p>\n<p>b = 196\u00a0\u00a0{\u092b\u093f\u0930 \u0909\u0938\u092e\u0947 \u0938\u0947\u00a0b\u00a0\u0915\u093e \u092e\u093e\u0928\u00a0HCF\u00a0\u0939\u094b\u0924\u093e \u0939\u0948;}<\/p>\n<p>HCF = 196<\/p>\n<p><strong>Ex 1.1 Class 10 \u0917\u0923\u093f\u0924\u00a0\u092a\u094d\u0930.2. \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f \u0915\u094b\u0908 \u092d\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0935\u093f\u0937\u092e \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 6q\u00a0+ 1, \u092f\u093e 6q\u00a0+ 3, \u092f\u093e 6q\u00a0+ 5, \u0915\u0947 \u0930\u0942\u092a \u0915\u093e \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u0939\u093e\u0901 q \u0915\u094b\u0908 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948 |<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p>\u0926\u0930\u094d\u0936\u093e\u0928\u093e \u0939\u0948:\u00a0a = 6q + 1, 6q+3\u00a0\u092f\u093e\u00a0\u00a06q+5<\/p>\n<p>\u092e\u093e\u0928\u093e \u0915\u093f a \u0915\u094b\u0908 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0935\u093f\u0937\u092e \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948; \u00a0\u091c\u0939\u093e\u0901 b = 6 \u0939\u094b\u0917\u093e,<\/p>\n<p>\u091c\u092c \u0939\u092e 6 \u0938\u0947 a \u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948 \u091c\u094b \u0936\u0947\u0937\u092b\u0932 \u0915\u094d\u0930\u092e\u0936: 0, 1, 2, 3, 4 \u0914\u0930 5 \u092a\u093e\u0924\u0947 \u0939\u0948;<\/p>\n<p>\u091c\u0939\u093e\u0901 0 \u2264\u00a0r\u00a0&lt; b<\/p>\n<p>\u092f\u0939\u093e\u0901 a \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u0907\u0938\u0932\u093f\u090f \u0936\u0947\u0937\u092b\u0932 \u092d\u0940 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 |<\/p>\n<p>\u0936\u0947\u0937\u092b\u0932 \u0939\u094b\u0917\u093e 1 \u092f\u093e 3 \u092f\u093e 5<\/p>\n<p>\u092f\u0941\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u0905\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0947 \u092a\u094d\u0930\u092f\u094b\u0917 \u0938\u0947 \u0939\u092e \u092a\u093e\u0924\u0947 \u0939\u0948;<\/p>\n<p>a = 6q + 1, 6q+3\u00a0\u092f\u093e\u00a06q+5<\/p>\n<p><strong>Ex 1.1 Class 10 \u0917\u0923\u093f\u0924\u00a0\u092a\u094d\u0930\u09663. \u0915\u093f\u0938\u0940 \u092a\u0930\u0947\u0921 \u092e\u0947\u0902 616 \u0938\u0926\u0938\u094d\u092f\u094b\u0902 \u0935\u093e\u0932\u0940 \u090f\u0915 \u0938\u0947\u0928\u093e (\u0906\u0930\u094d\u092e\u0940) \u0915\u0940 \u091f\u0941\u0915\u095c\u0940 \u0915\u094b 32 \u0938\u0926\u0938\u094d\u092f\u094b\u0902 \u0935\u093e\u0932\u0947 \u090f\u0915 \u0906\u0930\u094d\u092e\u0940 \u092c\u0948\u0902\u0921 \u0915\u0947 \u092a\u0940\u091b\u0947 \u092e\u093e\u0930\u094d\u091a \u0915\u0930\u0928\u093e \u0939\u0948 | \u0926\u094b\u0928\u094b\u0902 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928 \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u0938\u094d\u0924\u0902\u092d\u094b\u0902 \u092e\u0947\u0902 \u092e\u093e\u0930\u094d\u091a \u0915\u0930\u0928\u093e \u0939\u0948 | \u0909\u0928 \u0938\u094d\u0924\u0902\u092d\u094b\u0902 \u0915\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094d\u092f\u093e \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0935\u0947 \u092e\u093e\u0930\u094d\u091a \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948 ?<\/strong><\/p>\n<p>\u0939\u0932:<\/p>\n<p>\u0938\u094d\u0924\u0902\u092d\u094b\u0902 \u0915\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0938\u0902\u0916\u094d\u092f\u093e = HCF (616, 32)<\/p>\n<p>a = 616, b = 32\u00a0 {\u0938\u092c\u0938\u0947 \u092c\u095c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b\u00a0a\u00a0\u0924\u0925\u093e \u0938\u092c\u0938\u0947 \u091b\u094b\u091f\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b\u00a0b\u00a0\u092e\u093e\u0928\u0924\u0947 \u0939\u0948\u00a0}<\/p>\n<p>\u092f\u0941\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u0905\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0947 \u092a\u094d\u0930\u092f\u094b\u0917 \u0938\u0947<\/p>\n<p>a = bq + r (\u0924\u092c)<\/p>\n<p>616 = 32 \u00d719 + 8\u00a0\u00a0{\u091c\u092c \u0939\u092e\u0947\u0902\u00a0r=0\u00a0\u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0939\u092e \u0906\u0917\u0947 \u0939\u0932 \u0915\u0930\u0928\u093e \u092c\u0902\u0926 \u0915\u0930 \u0926\u0947\u0924\u0947 \u0939\u0948\u00a0}<\/p>\n<p>32 = 8 \u00d7 4 + 0<\/p>\n<p>b = 8 {b\u00a0\u0915\u093e \u092e\u093e\u0928\u00a0HCF\u00a0\u0939\u094b\u0924\u093e \u0939\u0948}<\/p>\n<p>HCF = 8<\/p>\n<p>\u0907\u0938\u0932\u093f\u090f \u0938\u094d\u0924\u0902\u092d\u094b\u0902 \u0915\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0938\u0902\u0916\u094d\u092f\u093e =\u00a08<\/p>\n<p><strong>Ex 1.1 Class 10 \u0917\u0923\u093f\u0924\u00a0\u092a\u094d\u0930\u09664. \u092f\u0942\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u092a\u094d\u0930\u092e\u0947\u092f\u093f\u0915\u093e \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f \u0915\u093f\u0938\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0915\u093e \u0935\u0930\u094d\u0917, \u0915\u093f\u0938\u0940 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 m \u0915\u0947 \u0932\u093f\u090f 3m \u092f\u093e 3m + 1 \u0915\u0947 \u0930\u0942\u092a \u0915\u093e \u0939\u094b\u0924\u093e \u0939\u0948 |<\/strong><\/p>\n<p><strong>\u0939\u0932<\/strong>\u00a0:<\/p>\n<p>\u0926\u0930\u094d\u0936\u093e\u0928\u093e \u0939\u0948 : a<sup>2<\/sup>\u00a0= 3m or 3m + 1<\/p>\n<p>a = bq + r<\/p>\n<p>\u092e\u093e\u0928\u093e \u0915\u093f\u00a0a\u00a0\u0915\u094b\u0908 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948 \u091c\u0939\u093e\u0901\u00a0b\u00a0= 3 \u0914\u0930\u00a0r\u00a0= 0, 1, 2 \u0915\u094d\u092f\u094b\u0902\u0915\u093f 0 \u2264\u00a0r\u00a0&lt; 3<\/p>\n<p>\u0924\u092c\u00a0a\u00a0= 3q\u00a0+\u00a0r\u00a0 \u0915\u0941\u091b \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0915\u0947 \u0932\u093f\u090f\u00a0q\u00a0\u2265 0<\/p>\n<p>\u0907\u0938\u0932\u093f\u090f,\u00a0a\u00a0= 3q\u00a0+ 0 or 3q\u00a0+ 1 or 3q\u00a0+ 2<\/p>\n<p>\u0905\u092c \u0939\u092e \u092a\u093e\u0924\u0947 \u0939\u0948;<\/p>\n<p>\u21d2\u00a0a<sup>2<\/sup>\u00a0= (3q + 0)<sup>2<\/sup>\u00a0or (3q + 1)<sup>2<\/sup>\u00a0or (3q +2)<sup>2<\/sup><\/p>\n<p>\u21d2\u00a0a<sup>2<\/sup>\u00a0= 9q<sup>2<\/sup>\u00a0or 9q<sup>2<\/sup>\u00a0+ 6q + 1 or 9q<sup>2<\/sup>\u00a0+ 12q + 4<\/p>\n<p>\u21d2\u00a0a<sup>2<\/sup>\u00a0= 9q<sup>2<\/sup>\u00a0or 9q<sup>2<\/sup>\u00a0+ 6q + 1 or 9q<sup>2<\/sup>\u00a0+ 12q + 3 + 1<\/p>\n<p>\u21d2\u00a0a<sup>2<\/sup>\u00a0= 3(3q<sup>2<\/sup>) or 3(3q<sup>2<\/sup>\u00a0+ 2q) + 1 or 3(3q<sup>2<\/sup>\u00a0+ 4q + 1) + 1<\/p>\n<p>\u092f\u0926\u093f m = (3q<sup>2<\/sup>) or (3q<sup>2<\/sup>\u00a0+ 2q)\u00a0 or (3q<sup>2<\/sup>\u00a0+ 4q + 1) \u0939\u094b \u0924\u094b<\/p>\n<p>\u0939\u092e \u092a\u093e\u0924\u0947 \u0939\u0948 \u0915\u093f ;<\/p>\n<p>a<sup>2<\/sup>\u00a0= 3m or 3m + 1 or 3m + 1<\/p>\n<p><strong>Ex 1.1 Class 10 \u0917\u0923\u093f\u0924\u00a0\u092a\u094d\u0930\u09665. \u092f\u0942\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u092a\u094d\u0930\u092e\u0947\u092f\u093f\u0915\u093e \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f \u0915\u093f\u0938\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0915\u093e \u0918\u0928 9m, 9m + 1 \u092f\u093e 9m + 8 \u0915\u0947 \u0930\u0942\u092a \u0915\u093e \u0939\u094b\u0924\u093e \u0939\u0948 |<\/strong><\/p>\n<p><strong>\u0939\u0932<\/strong>:<\/p>\n<p>\u092e\u093e\u0928\u093e, a \u0915\u094b\u0908 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948;<\/p>\n<p>\u092f\u0941\u0915\u093f\u0932\u094d\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u092a\u094d\u0930\u092e\u0947\u092f\u093f\u0915\u093e \u0915\u0947 \u092a\u094d\u0930\u092f\u094b\u0917 \u0938\u0947;<\/p>\n<p>a = bq + r\u00a0\u091c\u0939\u093e\u0901;\u00a00 \u2264\u00a0r\u00a0&lt; b<\/p>\n<p>b = 9 \u0930\u0916\u0928\u0947 \u092a\u0930<\/p>\n<p>a = 9q + r\u00a0\u091c\u0939\u093e\u0901;\u00a00 \u2264\u00a0r\u00a0&lt; 9<\/p>\n<p>\u091c\u092c r = 0 \u0939\u094b;<\/p>\n<p>a = 9q + 0 = 9q<\/p>\n<p>a<sup>3<\/sup>\u00a0 = (9q)<sup>3<\/sup>\u00a0= 9(81q<sup>3<\/sup>)\u00a0\u092f\u093e\u00a09m\u00a0\u091c\u0939\u093e\u0901\u00a0m = 81q<sup>3<\/sup><\/p>\n<p>\u091c\u092c r = 1 \u0939\u094b<\/p>\n<p>a = 9q + 1<\/p>\n<p>a<sup>3<\/sup>\u00a0= (9q + 1)<sup>3<\/sup>\u00a0= 9(81q<sup>3<\/sup>\u00a0+ 27q<sup>2<\/sup>\u00a0+ 3q) + 1<\/p>\n<p>= 9m + 1\u00a0\u00a0\u091c\u0939\u093e\u0901\u00a0m = 81q<sup>3<\/sup>\u00a0+ 27q<sup>2<\/sup>\u00a0+ 3q<\/p>\n<p>\u091c\u092c r = 2 \u0939\u094b \u0924\u094b<\/p>\n<p>a = 9q + 2<\/p>\n<p>a<sup>3<\/sup>\u00a0 = (9q + 2)<sup>3<\/sup>\u00a0= 9(81q<sup>3<\/sup>\u00a0+ 54q<sup>2<\/sup>\u00a0+ 12q) + 8<\/p>\n<p>= 9m + 2\u00a0\u00a0\u091c\u0939\u093e\u0901\u00a0m = 81q<sup>3<\/sup>\u00a0+ 54q<sup>2<\/sup>\u00a0+ 12q<\/p>\n<p>\u0905\u0924:\u00a0\u0915\u093f\u0938\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0915\u093e \u0918\u0928 9m, 9m + 1 \u092f\u093e 9m + 8 \u0915\u0947 \u0930\u0942\u092a \u0915\u093e \u0939\u094b\u0924\u093e \u0939\u0948 |<\/p>\n<p><span style=\"color: #0000ff;\"><strong><a id=\"real-numbers-ex-1.2-in-hindi\"><\/a>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 1.2<\/strong><\/span><\/p>\n<p><strong>Ex 1.2 Class 10 \u0917\u0923\u093f\u0924 Q1. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0940\u091c\u093f\u092f\u0947 :<\/strong><br \/>\n<strong>(i) 140 \u00a0\u00a0<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/927\/29572727088_aecce4ebba_o.jpg?resize=187%2C178&#038;ssl=1\" alt=\"NCERT Solutions For Class 10 Maths Hindi Medium PDF\" width=\"187\" height=\"178\" data-recalc-dims=\"1\" \/><br \/>\n140 \u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921<br \/>\n= 2<sup>2<\/sup>\u00a0\u00d7 5\u00a0\u00d7 7<\/p>\n<p><strong>(ii) 156<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm1.staticflickr.com\/920\/29572726808_c8078469c3_o.jpg?resize=192%2C197&#038;ssl=1\" alt=\"NCERT Solutions For Class 10 Maths Hindi Medium PDF 1\" width=\"192\" height=\"197\" data-recalc-dims=\"1\" \/><br \/>\n156 \u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921<br \/>\n= 2<sup>2<\/sup>\u00a0\u00d7 3\u00a0\u00d7 13<\/p>\n<p><strong>(iii) 3825<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1801\/29572726908_0a4a71ecab_o.jpg?resize=203%2C201&#038;ssl=1\" alt=\"NCERT Maths Solutions For Class 10 Hindi Medium\" width=\"203\" height=\"201\" data-recalc-dims=\"1\" \/><\/p>\n<p>3825 \u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921<br \/>\n= 3<sup>2<\/sup>\u00a0\u00d7 5<sup>2<\/sup>\u00a0\u00d7 17<\/p>\n<p><strong>(iv) 5005<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1810\/29572726498_d802ec8b25_o.jpg?resize=186%2C177&#038;ssl=1\" alt=\"NCERT Solutions For Class 10 Maths Hindi Medium \" width=\"186\" height=\"177\" data-recalc-dims=\"1\" \/><\/p>\n<p>5005 \u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921<br \/>\n= 5\u00a0\u00d7 7\u00a0\u00d7 11\u00a0\u00d7 13<\/p>\n<p><strong>(v) 7429<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm1.staticflickr.com\/914\/43395460312_11a71d6d58_o.jpg?resize=189%2C159&#038;ssl=1\" alt=\"NCERT Maths Hindi Medium Solutions For Class 10\" width=\"189\" height=\"159\" data-recalc-dims=\"1\" \/><br \/>\n7429 \u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921<br \/>\n= 17 x\u00a019 x 23<\/p>\n<p><strong>Ex 1.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q2. \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092f\u0941\u0917\u094d\u092e\u094b\u0902 \u0915\u0947 LCM and HCF \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0924\u0925\u093e \u0907\u0938\u0915\u0940 \u091c\u093e\u0901\u091a \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0926\u094b\u00a0\u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 = LCM \u00d7 HCF \u0939\u0948|\u00a0<\/strong><\/p>\n<p><strong>(i) 26 and 91<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p>26 = 2\u00a0\u00d7 13<\/p>\n<p>91 = 7\u00a0\u00d7 13<\/p>\n<p>\u0938\u093e\u0930\u094d\u0935 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 = 13<\/p>\n<p>\u2234 HCF = 13<\/p>\n<p>LCM = 2\u00a0\u00d7 7\u00a0\u00d7 13 = 182<\/p>\n<p>\u0905\u092c, \u091c\u093e\u0901\u091a,<\/p>\n<p>\u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 = LCM\u00a0\u00d7 HCF<\/p>\n<p>N<sub>1<\/sub>\u00a0\u00d7 N<sub>2<\/sub>\u00a0=\u00a0LCM\u00a0\u00d7 HCF<\/p>\n<p>26\u00a0\u00d7 91 = 13\u00a0\u00d7 182<\/p>\n<p>2366 =\u00a0\u00a02366<\/p>\n<p>\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e |<\/p>\n<p><strong>(ii) 510 and 92<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p>510 =\u00a02 \u00d7 3 \u00d7 5 \u00d7 17<\/p>\n<p>92 = 2 \u00d7 2 \u00d7 23<\/p>\n<p>\u0938\u093e\u0930\u094d\u0935 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 = 2<\/p>\n<p>\u2234\u00a0HCF = 2<\/p>\n<p>LCM = 2\u00a0\u00d7 2\u00a0\u00d7 3\u00a0\u00d7 5\u00a0\u00d7\u00a017\u00a0\u00d7 23 = \u00a023460<\/p>\n<p>\u0905\u092c, \u091c\u093e\u0901\u091a,<\/p>\n<p>\u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u0916\u0902\u0921 = LCM\u00a0\u00d7 HCF<\/p>\n<p>N<sub>1<\/sub>\u00a0\u00d7 N<sub>2<\/sub>\u00a0=\u00a0LCM\u00a0\u00d7 HCF<\/p>\n<p>510 \u00d7 92\u00a0= 2\u00a0\u00d7\u00a023460<\/p>\n<p>46920 =\u00a0\u00a046920<\/p>\n<p>\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e |<\/p>\n<p><strong>(iii) 336 and 54<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p>336 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 7<\/p>\n<p>54 = 2 \u00d7 3 \u00d7 3 \u00d7 3<\/p>\n<p>\u0938\u093e\u0930\u094d\u0935 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 = 2\u00a0\u00d7 3<\/p>\n<p>\u2234\u00a0HCF = 6<\/p>\n<p>LCM = 2\u00a0\u00d7 2\u00a0\u00d7 2\u00d7 2\u00a0\u00d7 3\u00a0\u00d7 3\u00a0\u00d7 3\u00a0\u00d7 7\u00a0= \u00a03024<\/p>\n<p>\u091c\u093e\u0901\u091a,<\/p>\n<p>\u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 = LCM\u00a0\u00d7 HCF<\/p>\n<p>N<sub>1<\/sub>\u00a0\u00d7 N<sub>2<\/sub>\u00a0=\u00a0LCM\u00a0\u00d7 HCF<\/p>\n<p>336 \u00d7 54\u00a0= 6\u00a0\u00d7 3024<\/p>\n<p>18144\u00a0= \u00a018144<\/p>\n<p>\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e |<\/p>\n<p><strong>Ex 1.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q3. \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0935\u093f\u0927\u093f \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 LCM \u0914\u0930\u00a0HCF \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><\/p>\n<p><strong>(i) 12, 15 and 21<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p>12 = 2\u00a0\u00d7 2\u00a0\u00d7 3<\/p>\n<p>15 = 5\u00a0\u00d7 3<\/p>\n<p>21 = 7\u00a0\u00d7 3<\/p>\n<p>\u0938\u093e\u0930\u094d\u0935 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 = 3<\/p>\n<p>HCF = 3<\/p>\n<p>\u200bLCM = 3\u00a0\u00d7 2\u00a0\u00d7 2\u00a0\u00d7 5\u00a0\u00d7 7 = 420<\/p>\n<p><strong>(ii) 17, 23 and 29<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p>17 = 1\u00a0\u00d7 17<\/p>\n<p>23 = 1\u00a0\u00d7 23<\/p>\n<p>29 = 1\u00a0\u00d7 29<\/p>\n<p>HCF = 1<\/p>\n<p>LCM = 17\u00a0\u00d7 23\u00a0\u00d7 29 = 11339<\/p>\n<p><strong>(iii) 8, 9 and 25<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p>8 = 2\u00a0\u00d7 2\u00a0\u00d7 2<\/p>\n<p>9 = 3\u00a0\u00d7 3<\/p>\n<p>25 = 5\u00a0\u00d7 5<\/p>\n<p>\u092f\u0939\u093e\u0901 1 \u0915\u094b \u091b\u094b\u095c\u0915\u0930 \u0905\u0928\u094d\u092f \u0915\u094b\u0908 \u0938\u093e\u0930\u094d\u0935 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0928\u0939\u0940\u0902 \u0939\u0948 |<\/p>\n<p>\u2234\u00a0HCF = 1<\/p>\n<p>LCM =\u00a02\u00a0\u00d7 2\u00a0\u00d7 2\u00a0\u00d7\u00a03\u00a0\u00d7 3 \u00d7\u00a05\u00a0\u00d7 5<\/p>\n<p>= 8\u00a0\u00d7 9\u00a0\u00d7 25<\/p>\n<p>= 1800<\/p>\n<p><strong>Ex 1.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q4. HCF (306, 657) = 9, \u0926\u093f\u092f\u093e \u0939\u0948 | LCM\u00a0(306, 657) \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |\u00a0<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p>HCF (306, 657) = 9<\/p>\n<p>LCM\u00a0\u00d7 HCF\u00a0=\u00a0\u200bN<sub>1<\/sub>\u00a0\u00d7 N<sub>2<\/sub><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1788\/29572726138_6ca7df8eac_o.jpg?resize=177%2C73&#038;ssl=1\" alt=\"Maths NCERT Solutions For Class 10 Hindi Medium\" width=\"177\" height=\"73\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm1.staticflickr.com\/840\/43395460242_e330006343_o.jpg?resize=171%2C49&#038;ssl=1\" alt=\"NCERT Solutions For Maths Class 10 Hindi Medium\" width=\"171\" height=\"49\" data-recalc-dims=\"1\" \/><br \/>\nLCM = 22338<\/p>\n<p><strong>Ex 1.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q5. \u091c\u093e\u0901\u091a \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0915\u094d\u092f\u093e \u0915\u093f\u0938\u0940 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e n \u0915\u0947 \u0932\u093f\u090f \u0938\u0902\u0916\u094d\u092f\u093e 6<sup>n<\/sup>\u00a0\u0905\u0902\u0915 0 \u092a\u0930 \u0938\u092e\u093e\u092a\u094d\u0924 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948 |\u00a0<\/strong><\/p>\n<p><strong>\u0939\u0932:<\/strong><\/p>\n<p>6<sup>n<\/sup>\u00a0\u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921 = (2\u00a0\u00d7 3 )<sup>n<\/sup><\/p>\n<p>\u091c\u092c\u0915\u093f, \u0915\u094b\u0908 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094b \u0936\u0942\u0928\u094d\u092f \u092a\u0930 \u0938\u092e\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948 \u0909\u0938\u0915\u0947 \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921\u00a0(2\u00a0\u00d7 5\u00a0)<sup>n<\/sup>\u00a0\u0915\u0947 \u0930\u0942\u092a \u0915\u093e \u0939\u094b\u0924\u093e \u0939\u0948 |<\/p>\n<p>\u0905\u0924:,\u00a06<sup>n<\/sup>\u00a0\u0936\u0942\u0928\u094d\u092f \u092a\u0930 \u0938\u092e\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940 |<\/p>\n<p><strong>Ex 1.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q6. \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0940\u091c\u093f\u090f 7 \u00d7 11 \u00d7 13 + 13 \u0914\u0930 7 \u00d7 6 \u00d7 5 \u00d7 4 \u00d7 3 \u00d7 2 \u00d7 1 + 5 \u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094d\u092f\u094b\u0902 \u0939\u0948 ?<\/strong><\/p>\n<p><strong>\u0939\u0932 :<\/strong><\/p>\n<p>\u092e\u093e\u0928\u093e A =\u00a07 \u00d7 11 \u00d7 13 + 13<\/p>\n<p>= 13 (7 \u00d7 11 + 1)<\/p>\n<p>= 13 (77 + 1)<\/p>\n<p>= 13\u00a0\u00d7 78<\/p>\n<p>\u0905\u0924: \u092f\u0939 \u090f\u0915 \u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0907\u0938\u0915\u0947 \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u092e\u0947\u0902 1 \u0915\u094b \u091b\u094b\u095c\u0915\u0930 \u0905\u0928\u094d\u092f \u0926\u094b \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0939\u0948\u0902 |<\/p>\n<p>\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930,<\/p>\n<p>\u092e\u093e\u0928\u093e B =\u00a07 \u00d7 6 \u00d7 5 \u00d7 4 \u00d7 3 \u00d7 2 \u00d7 1 + 5<\/p>\n<p>= 5 (7 \u00d7 6 \u00d7\u00a04 \u00d7 3 \u00d7 2 \u00d7 1 + 1)\u200b<\/p>\n<p>= 5 \u00d7 (1008 + 1)<\/p>\n<p>= 5 \u00a0\u00d7\u00a0 1009<\/p>\n<p>\u0905\u0924: \u092f\u0939 \u092d\u0940 \u090f\u0915 \u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f\u00a0\u0907\u0938\u0915\u0947 \u092d\u0940 \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u092e\u0947\u0902 1 \u0915\u094b \u091b\u094b\u095c\u0915\u0930 \u0905\u0928\u094d\u092f \u0926\u094b \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0939\u0948\u0902 |<\/p>\n<p><strong>Ex 1.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q7.\u00a0<\/strong>\u0915\u093f\u0938\u0940 \u0916\u0947\u0932 \u0915\u0947 \u092e\u0948\u0926\u093e\u0928 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u092a\u0925 \u0939\u0948\u0964 \u0907\u0938 \u092e\u0948\u0926\u093e\u0928 \u0915\u093e \u090f\u0915 \u091a\u0915\u094d\u0915\u0930 \u0932\u0917\u093e\u0928\u0947 \u092e\u0947\u0902\u00a0\u0938\u094b\u0928\u093f\u092f\u093e \u0915\u094b 18 \u092e\u093f\u0928\u091f \u0932\u0917\u0924\u0947 \u0939\u0948\u0902, \u091c\u092c\u0915\u093f \u0907\u0938\u0940 \u092e\u0948\u0926\u093e\u0928 \u0915\u093e \u090f\u0915 \u091a\u0915\u094d\u0915\u0930 \u0932\u0917\u093e\u0928\u0947 \u092e\u0947\u0902 \u0930\u0935\u093f \u0915\u094b 12 \u092e\u093f\u0928\u091f\u00a0\u0932\u0917\u0924\u0947 \u0939\u0948\u0902\u0964 \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0935\u0947 \u0926\u094b\u0928\u094b\u0902 \u090f\u0915 \u0939\u0940 \u0938\u094d\u0925\u093e\u0928 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u092f \u092a\u0930 \u091a\u0932\u0928\u093e \u092a\u094d\u0930\u093e\u0930\u0902\u092d \u0915\u0930\u0915\u0947 \u090f\u0915\u00a0\u0939\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932\u0924\u0947 \u0939\u0948\u0902\u0964 \u0915\u093f\u0924\u0928\u0947 \u0938\u092e\u092f \u092c\u093e\u0926 \u0935\u0947 \u092a\u0941\u0928\u0903 \u092a\u094d\u0930\u093e\u0902\u0930\u092d\u093f\u0915 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u092e\u093f\u0932\u0947\u0902\u0917\u0947?<\/p>\n<p><strong>\u0939\u0932:\u00a0<\/strong><\/p>\n<p>\u090f\u0915 \u091a\u0915\u094d\u0915\u0930 \u092e\u0947\u0902 \u0938\u094b\u0928\u093f\u092f\u093e 18 \u092e\u093f\u0928\u091f \u0932\u0947\u0924\u0940 \u0939\u0948\u0902 |<\/p>\n<p>\u0930\u0935\u093f \u090f\u0915 \u091a\u0915\u094d\u0915\u0930 \u092e\u0947\u0902 12 \u0932\u0917\u093e\u0924\u093e \u0939\u0948 |<\/p>\n<p>\u0935\u0947 \u0926\u094b\u0928\u094b\u0902 \u090f\u0915 \u0939\u0940 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 LCM(18, 12) \u092e\u093f\u0928\u091f \u0915\u0947 \u092c\u093e\u0926 \u092e\u093f\u0932\u0947\u0902\u0917\u0947 |<\/p>\n<p>\u0905\u0924:<\/p>\n<p>18 = 2\u00a0\u00d7 3\u00a0\u00d7 3<\/p>\n<p>12 = 2\u00a0\u00d7 2\u00a0\u00d7 3<\/p>\n<p>HCF = 2\u00a0\u00d7 3 = 6<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm1.staticflickr.com\/836\/43443481671_c9fc5296d3_o.jpg?resize=146%2C58&#038;ssl=1\" alt=\" Hindi Medium Solutions For NCERT Maths Class 10\" width=\"146\" height=\"58\" data-recalc-dims=\"1\" \/><br \/>\n= 36 \u092e\u093f\u0928\u091f |<\/p>\n<p><strong><span style=\"color: #0000ff;\"><a id=\"real-numbers-ex-1.3-in-hindi\"><\/a>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 1.3<\/span>\u00a0<\/strong><\/p>\n<p><strong>Ex 1.3 Class 10 \u0917\u0923\u093f\u0924 Q1. \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u221a5 \u090f\u0915 \u0905\u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 |<\/strong><\/p>\n<p><strong>\u0939\u0932 :<\/strong><\/p>\n<p>\u0907\u0938\u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924 \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u221a5 \u090f\u0915 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 |<\/p>\n<p>\u0939\u092e \u0915\u093f\u0938\u0940 \u092d\u0940 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b p\/q \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948 \u091c\u0939\u093e\u0901 p \u0924\u0925\u093e q \u0926\u094b \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948 \u0914\u0930 q\u00a0 \u2260 0 \u0939\u0948 |\u00a0<strong>\u200b<\/strong><\/p>\n<p>\u0907\u0938\u0932\u093f\u090f,<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm1.staticflickr.com\/844\/29572725468_86f879fdf7_o.jpg?resize=66%2C55&#038;ssl=1\" alt=\"NCERT Solutions for Class 10th Mathematics Chapter 1 Real Numbers (Hindi Medium) 1.2 10\" width=\"66\" height=\"55\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1801\/29572725838_7d851026c8_o.jpg?resize=573%2C277&#038;ssl=1\" alt=\"NCERT Hindi Medium Solutions Of Maths For Class 10\" width=\"573\" height=\"277\" data-recalc-dims=\"1\" \/><br \/>\n\u092f\u0939\u093e\u0901 5\u00a0<em>a<\/em><em><sup>2\u00a0<\/sup><\/em>\u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u0905\u0924: 5 a \u0915\u094b \u092d\u0940 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0947\u0917\u093e | &#8230;.(1)<\/p>\n<p>[\u00a0<strong>\u092a\u094d\u0930\u092e\u0947\u092f 1.3 \u0926\u094d\u0935\u093e\u0930\u093e<\/strong>\u00a0]<\/p>\n<p>\u0905\u0924:\u00a0<em>a<\/em>\u00a0= 5c \u092e\u093e\u0928\u093e\u00a0\u00a0\u00a0\u00a0\u00a0 [\u00a0<strong>\u0915\u094d\u092f\u094b\u0902\u0915\u093f a 5 \u0926\u094d\u0935\u093e\u0930\u093e \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u00a0<\/strong>\u0905\u0930\u094d\u0925\u093e\u0924 a \u0915\u093e 5 \u0915\u094b\u0908 \u0917\u0941\u0928\u093e\u0916\u0902\u0921 \u0939\u0948 |]<\/p>\n<p>5<em>b<\/em><em><sup>2<\/sup><\/em><em>\u00a0= a<\/em><em><sup>2<\/sup><\/em>\u00a0\u092e\u0947\u0902\u00a0<em>a<\/em>\u00a0= 5c \u0930\u0916\u0928\u0947 \u092a\u0930<\/p>\n<p>\u21d2\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a05<em>b<\/em><em><sup>2<\/sup><\/em><em>\u00a0=\u00a0<\/em>(5c)<em><sup>2<\/sup><\/em><\/p>\n<p>\u21d2\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a05<em>b<\/em><em><sup>2<\/sup><\/em><em>\u00a0=\u00a0<\/em>25c<sup>2<\/sup><\/p>\n<p>\u21d2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<em>b<\/em><em><sup>2<\/sup><\/em><em>\u00a0=\u00a0<\/em>5c<sup>2<\/sup><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1783\/29572725338_a6824aec5b_o.jpg?resize=152%2C55&#038;ssl=1\" alt=\"NCERT Solutions for Class 10th Mathematics Chapter 1 Real Numbers (Hindi Medium) 1.2 11\" width=\"152\" height=\"55\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092f\u0939\u093e\u0901 5 b<em><sup>2\u00a0<\/sup><\/em>\u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u0905\u0924: 5 b \u0915\u094b \u092d\u0940 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0947\u0917\u093e | &#8230;.(2)<\/p>\n<p>[\u00a0<strong>\u092a\u094d\u0930\u092e\u0947\u092f 1.3 \u0926\u094d\u0935\u093e\u0930\u093e<\/strong>\u00a0]<\/p>\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u0924\u0925\u093e (2) \u0938\u0947 \u0939\u092e \u092a\u093e\u0924\u0947 \u0939\u0948 \u0915\u093f 5 a \u0924\u0925\u093e b \u0926\u094b\u0928\u094b\u0902 \u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 5 \u090f\u0915 \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0939\u0948 |<\/p>\n<p>\u0907\u0938\u0938\u0947 \u0939\u092e\u093e\u0930\u0940 \u0907\u0938 \u0924\u0925\u094d\u092f \u0915\u093e \u0935\u093f\u0930\u094b\u0927\u093e\u092d\u093e\u0938 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f a \u0924\u0925\u093e b \u092e\u0947\u0902 1 \u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0915\u094b\u0908 \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0928\u0939\u0940\u0902 \u0939\u0948 |<\/p>\n<p>\u092f\u0939 \u0935\u093f\u0930\u094b\u0927\u093e\u092d\u093e\u0938\u0940 \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u092e\u093e\u0930\u0940 \u0917\u0932\u0924 \u0915\u0932\u094d\u092a\u0928\u093e \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u0941\u0906 \u0939\u0948 \u0915\u093f<\/p>\n<p>\u0905\u0924:\u00a0\u221a5\u00a0\u090f\u0915 \u0905\u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 |<\/p>\n<p><strong>Ex 1.3 Class 10 \u0917\u0923\u093f\u0924\u00a0Q<\/strong><strong>2.\u00a0\u00a0<\/strong><strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f\u00a0<\/strong>\u00a0<strong>\u0915\u093f 3 + 2<\/strong><strong>\u221a5<\/strong>\u00a0<strong>\u090f\u0915 \u0905\u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 |<\/strong><\/p>\n<p><strong>\u0939\u0932 :<\/strong><\/p>\n<p>\u0907\u0938\u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924 \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f 3 + 2\u221a5 \u090f\u0915 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 |<\/p>\n<p>\u0939\u092e \u0915\u093f\u0938\u0940 \u092d\u0940 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b p\/q \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948 \u091c\u0939\u093e\u0901 p \u0924\u0925\u093e q \u0926\u094b \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948 \u0914\u0930 q\u00a0 \u2260 0 \u0939\u0948 |\u00a0<strong>\u200b<\/strong><\/p>\n<p>\u0907\u0938\u0932\u093f\u090f,<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm1.staticflickr.com\/919\/29572725218_3afd03914a_o.jpg?resize=107%2C44&#038;ssl=1\" alt=\"NCERT Solutions for Class 10th Mathematics Chapter 1 Real Numbers (Hindi Medium) 1.2 12\" width=\"107\" height=\"44\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u0914\u0930 p \u0924\u0925\u093e q \u0915\u094b \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930 \u090f\u0915 \u0938\u0939-\u0905\u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e a \u0924\u0925\u093e b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 |<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm1.staticflickr.com\/840\/29572725128_ebabbf7da4_o.jpg?resize=246%2C197&#038;ssl=1\" alt=\"Maths Hindi Medium Solutions For Class 10 NCERT\" width=\"246\" height=\"197\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u091a\u0942\u0901\u0915\u093f a \u0924\u0925\u093e b \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948 \u0914\u0930 2 \u0924\u0925\u093e 3 \u092d\u0940 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948 |<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/846\/43443480951_d0d981498f_o.jpg?resize=540%2C80&#038;ssl=1\" alt=\"NCERT Solutions for Class 10th Mathematics Chapter 1 Real Numbers (Hindi Medium) 1.2 14\" width=\"540\" height=\"80\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u0907\u0938\u0938\u0947 \u090f\u0915 \u0935\u093f\u0930\u094b\u0927\u093e\u092d\u093e\u0938\u0940 \u092a\u0930\u093f\u0923\u093e\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f \u221a5 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 |<\/p>\n<p>\u0910\u0938\u093e \u0935\u093f\u0930\u094b\u0927\u093e\u092d\u093e\u0938\u0940 \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u092e\u093e\u0930\u0940 \u0917\u0932\u0924 \u0915\u0932\u094d\u092a\u0928\u093e \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u0941\u0906 \u0939\u0948 \u0915\u093f 3 + 2\u221a5 \u090f\u0915 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 |<\/p>\n<p>\u0905\u0924: 3 + 2\u221a5 \u090f\u0915 \u0905\u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 |<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1809\/42538956215_d0f929f6fc_o.jpg?resize=453%2C89&#038;ssl=1\" alt=\"Solutions For Maths NCERT Class 10 Hindi Medium\" width=\"453\" height=\"89\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm1.staticflickr.com\/840\/42538956165_60330617cb_o.jpg?resize=582%2C587&#038;ssl=1\" alt=\"NCERT Books Solutions For Class 10 Maths Hindi Medium\" width=\"582\" height=\"587\" data-recalc-dims=\"1\" \/><br \/>\n\u092f\u0939\u093e\u0901 2\u00a0<em>b<\/em><em><sup>2\u00a0<\/sup><\/em>\u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u0905\u0924: 2, b \u0915\u094b \u092d\u0940 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0947\u0917\u093e | &#8230;.(1)<\/p>\n<p>[\u00a0<strong>\u092a\u094d\u0930\u092e\u0947\u092f 1.3 \u0926\u094d\u0935\u093e\u0930\u093e<\/strong>\u00a0]<\/p>\n<p>\u0905\u0924: b = 2c \u092e\u093e\u0928\u093e\u00a0\u00a0\u00a0\u00a0\u00a0 [\u00a0<strong>\u0915\u094d\u092f\u094b\u0902\u0915\u093f a 5 \u0926\u094d\u0935\u093e\u0930\u093e \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 |<\/strong>\u00a0]<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1786\/42538956045_fce6984edb_o.jpg?resize=232%2C215&#038;ssl=1\" alt=\"NCERT Maths Book Solutions For Class 10 Hindi Medium\" width=\"232\" height=\"215\" data-recalc-dims=\"1\" \/><br \/>\n\u092f\u0939\u093e\u0901 2\u00a0<em>a<\/em><em><sup>2\u00a0<\/sup><\/em>\u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u0905\u0924: 2\u00a0<em>a<\/em>\u00a0\u0915\u094b \u092d\u0940 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0947\u0917\u093e | &#8230;.(2)<\/p>\n<p>[\u00a0<strong>\u092a\u094d\u0930\u092e\u0947\u092f 1.3 \u0926\u094d\u0935\u093e\u0930\u093e<\/strong>\u00a0]<\/p>\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u0924\u0925\u093e (2) \u0938\u0947 \u0939\u092e \u092a\u093e\u0924\u0947 \u0939\u0948 \u0915\u093f 2 a \u0924\u0925\u093e b \u0926\u094b\u0928\u094b\u0902 \u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 2 \u090f\u0915 \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0939\u0948 |<\/p>\n<p>\u0907\u0938\u0938\u0947 \u0939\u092e\u093e\u0930\u0940 \u0907\u0938 \u0924\u0925\u094d\u092f \u0915\u093e \u0935\u093f\u0930\u094b\u0927\u093e\u092d\u093e\u0938 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f a \u0924\u0925\u093e b \u092e\u0947\u0902 1 \u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0915\u094b\u0908 \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0939\u092e\u0928\u0947 a \u0924\u0925\u093e b \u0915\u094b \u0938\u0939-\u0905\u092d\u093e\u091c\u094d\u092f \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u0925\u093e |<\/p>\n<p>\u092f\u0939 \u0935\u093f\u0930\u094b\u0927\u093e\u092d\u093e\u0938\u0940 \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u092e\u093e\u0930\u0940 \u0917\u0932\u0924 \u0915\u0932\u094d\u092a\u0928\u093e \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u0941\u0906 \u0939\u0948 \u0915\u093f<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1810\/42538955945_9d10740362_o.jpg?resize=352%2C117&#038;ssl=1\" alt=\"CBSE NCERT Maths Hindi Medium Solutions For Class 10\" width=\"352\" height=\"117\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm1.staticflickr.com\/841\/42538955865_c4d8c43891_o.jpg?resize=583%2C640&#038;ssl=1\" alt=\"CBSE NCERT Solutions For Class 10 Maths Hindi Medium\" width=\"583\" height=\"640\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1764\/42538955655_159ac6afb1_o.jpg?resize=581%2C760&#038;ssl=1\" alt=\"NCERT Maths Textbook For Class 10 Hindi Medium Solutions\" width=\"581\" height=\"760\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong><span style=\"color: #0000ff;\"><a id=\"real-numbers-ex-1.4-in-hindi\"><\/a>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 1.4<\/span>\u00a0<\/strong><\/p>\n<p><strong>Ex 1.4 Class 10 \u0917\u0923\u093f\u0924 Q1. \u092c\u093f\u0928\u093e \u0932\u0902\u092c\u0940 \u0935\u093f\u092d\u093e\u091c\u0928 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093f\u090f \u092c\u0924\u093e\u0907\u090f \u0915\u093f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0926\u0936\u092e\u0932\u0935 \u092a\u094d\u0930\u0938\u093e\u0930 \u0938\u093e\u0902\u0924 \u0939\u0948\u0902 \u092f\u093e \u0905\u0938\u093e\u0902\u0924 \u0906\u0935\u0930\u094d\u0924\u0940 \u0939\u0948\u0902 :<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1787\/42538955365_bb1b694e17_o.jpg?resize=566%2C123&#038;ssl=1\" alt=\"NCERT Books For Class 10 Maths Hindi Medium Solutions\" width=\"566\" height=\"123\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>\u0939\u0932 :<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm1.staticflickr.com\/846\/42538955065_bf3a50c643_o.jpg?resize=173%2C186&#038;ssl=1\" alt=\"NCERT Maths Textbook Hindi Medium Solutions For Class 10\" width=\"173\" height=\"186\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0930 \u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921 5<sup>5<\/sup>\u00a0\u0939\u0948 \u0914\u0930 \u0907\u0938\u0947 2<sup>m\u00a0<\/sup>\u00d7 5<sup>n<\/sup>\u00a0\u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0905\u0924: \u092f\u0939 \u090f\u0915 \u0938\u093e\u0902\u0924 \u0926\u0936\u092e\u0932\u0935 \u092a\u094d\u0930\u0938\u093e\u0930 \u0939\u0948 |<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/923\/42538955035_630f5c9a48_o.jpg?resize=110%2C186&#038;ssl=1\" alt=\"NCERT Book Solutions For Class 10 Maths Hindi Medium\" width=\"110\" height=\"186\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0930 \u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921 2<sup>3<\/sup>\u00a0\u0939\u0948 \u0914\u0930 \u0907\u0938\u0947 2<sup>m\u00a0<\/sup>\u00d7 5<sup>n<\/sup>\u00a0\u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0905\u0924: \u092f\u0939 \u090f\u0915 \u0938\u093e\u0902\u0924 \u0926\u0936\u092e\u0932\u0935 \u092a\u094d\u0930\u0938\u093e\u0930 \u0939\u0948 |<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm1.staticflickr.com\/918\/42538954945_6320dcd5e7_o.jpg?resize=122%2C121&#038;ssl=1\" alt=\"NCERT Solutions For Class 10 Maths Hindi Medium PDF Free Download\" width=\"122\" height=\"121\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0930 \u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921 5 \u00d7 7 \u00d7 13 \u0939\u0948 \u0914\u0930 \u0907\u0938\u0947 2<sup>m\u00a0<\/sup>\u00d7 5<sup>n<\/sup>\u00a0\u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0905\u0924: \u092f\u0939 \u090f\u0915 \u0905\u0938\u093e\u0902\u0924 \u0926\u0936\u092e\u0932\u0935 \u092a\u094d\u0930\u0938\u093e\u0930 \u0939\u0948 |<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/845\/42538954905_8f9a5260c2_o.jpg?resize=278%2C190&#038;ssl=1\" alt=\"NCERT Book Solutions For Class 10 Maths Hindi Medium Real Numbers\" width=\"278\" height=\"190\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0930 \u0915\u093e \u0905\u092d\u093e\u091c\u094d\u092f \u0917\u0941\u0923\u0928\u0916\u0902\u0921 2<sup>6<\/sup>\u00a0\u00d7 5<sup>2<\/sup>\u00a0\u0939\u0948 \u0914\u0930 \u092f\u0939 2<sup>m\u00a0<\/sup>\u00d7 5<sup>n<\/sup>\u00a0\u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0939\u0948 \u0905\u0924: \u092f\u0939 \u090f\u0915 \u0938\u093e\u0902\u0924 \u0926\u0936\u092e\u0932\u0935 \u092a\u094d\u0930\u0938\u093e\u0930 \u0939\u0948 |<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/835\/42538954865_74c7925062_o.jpg?resize=500%2C462&#038;ssl=1\" alt=\"NCERT Textbook Solutions For Class 10 Maths Hindi Medium Real Numbers 1.2 27\" width=\"500\" height=\"462\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/834\/42538954555_95541f941c_o.jpg?resize=476%2C190&#038;ssl=1\" alt=\"NCERT Books Solutions For Class 10 Maths Hindi Medium PDF Real Numbers (Hindi Medium) 1.2 28\" width=\"476\" height=\"190\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm1.staticflickr.com\/923\/42538954465_2fb2eceace_o.jpg?resize=492%2C389&#038;ssl=1\" alt=\"NCERT Solutions for Class 10th Mathematics Chapter 1 Real Numbers (Hindi Medium) 1.2 29\" width=\"492\" height=\"389\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm1.staticflickr.com\/837\/42538954395_4181fb3ca6_o.jpg?resize=460%2C388&#038;ssl=1\" alt=\"Download NCERT Hindi Medium Solutions For Class 10 Maths Real Numbers\" width=\"460\" height=\"388\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1770\/43443478211_37f50c4744_o.jpg?resize=463%2C196&#038;ssl=1\" alt=\"NCERT Solutions For Class 10 Maths PDF Real Numbers Hindi Medium\" width=\"463\" height=\"196\" data-recalc-dims=\"1\" \/><br \/>\nQ2. \u090a\u092a\u0930 \u0926\u093f\u090f \u0917\u090f \u092a\u094d\u0930\u0936\u094d\u0928 \u092e\u0947\u0902 \u0909\u0928 \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0926\u0936\u092e\u0932\u0935 \u092a\u094d\u0930\u0938\u093e\u0930\u094b\u0902 \u0915\u094b \u0932\u093f\u0916\u093f\u090f \u091c\u094b \u0938\u093e\u0902\u0924 \u0939\u0948\u0902 |<\/p>\n<p>\u0939\u0932 : \u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0902\u0916\u094d\u092f\u093e 1 \u092e\u0947\u0902 \u0938\u093e\u0902\u0924 \u0926\u0936\u092e\u0932\u0935 \u092a\u094d\u0930\u0938\u093e\u0930 \u0935\u093e\u0932\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u0948\u0902 |<\/p>\n<p>(i), (ii), (iii), (iv), (vi), (viii) \u0914\u0930 (ix)<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm1.staticflickr.com\/836\/42538954135_261a0ff250_o.jpg?resize=459%2C311&#038;ssl=1\" alt=\"NCERT Maths Solutions For Class 10 Real Numbers Hindi Medium 1.2 32\" width=\"459\" height=\"311\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1810\/42538954155_95f63a9f36_o.jpg?resize=366%2C218&#038;ssl=1\" alt=\"Maths NCERT Solutions For Class 10 Chapter 1 Real Numbers Hindi Medium 1.2 33\" width=\"366\" height=\"218\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm1.staticflickr.com\/915\/42538954005_f99297c85b_o.jpg?resize=404%2C442&#038;ssl=1\" alt=\"NCERT Solutions For Maths Class 10 Real Numbers Hindi Medium 1.2 34\" width=\"404\" height=\"442\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/839\/42538953865_ae1e3bcb47_o.jpg?resize=375%2C261&#038;ssl=1\" alt=\"Solutions For NCERT Maths Class 10 Chapter 1 Real Numbers Hindi Medium 1.2 35\" width=\"375\" height=\"261\" data-recalc-dims=\"1\" \/><\/p>\n<p>Hope given NCERT Solutions for Class 10 Maths Chapter 1\u00a0are helpful to complete your homework.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 10 Maths Chapter 1\u00a0Real Numbers (Hindi Medium) These Solutions are part of NCERT Solutions for Class 10 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers. Chapter 1. \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0905\u092d\u094d\u092f\u093e\u0938 1.1 Ex 1.1 Class 10 \u0917\u0923\u093f\u0924 \u092a\u094d\u0930.1. \u092f\u0941\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u0905\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0947 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/\"> <span class=\"screen-reader-text\">NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium)<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[1],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v16.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium) - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium) - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions for Class 10 Maths Chapter 1\u00a0Real Numbers (Hindi Medium) These Solutions are part of NCERT Solutions for Class 10 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers. Chapter 1. \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0905\u092d\u094d\u092f\u093e\u0938 1.1 Ex 1.1 Class 10 \u0917\u0923\u093f\u0924 \u092a\u094d\u0930.1. \u092f\u0941\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u0905\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0947 &hellip; NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium) Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/\" \/>\n<meta property=\"og:site_name\" content=\"NCERT Solutions\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-06-21T05:04:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/farm1.staticflickr.com\/927\/29572727088_aecce4ebba_o.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:site\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"18 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\",\"name\":\"NCERT Solutions\",\"url\":\"https:\/\/ncertsolutions.guru\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\",\"https:\/\/www.instagram.com\/ncertsolutionsguru\/\",\"https:\/\/www.linkedin.com\/in\/ncertsolutionsguru\/\",\"https:\/\/in.pinterest.com\/ncertsolutionsguru\/\",\"https:\/\/en.wikipedia.org\/wiki\/National_Council_of_Educational_Research_and_Training\",\"https:\/\/twitter.com\/ncertsolguru\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1\",\"width\":460,\"height\":45,\"caption\":\"NCERT Solutions\"},\"image\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/ncertsolutions.guru\/#website\",\"url\":\"https:\/\/ncertsolutions.guru\/\",\"name\":\"NCERT Solutions\",\"description\":\"NCERT Solutions for Class 1 to 12\",\"publisher\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/ncertsolutions.guru\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/farm1.staticflickr.com\/927\/29572727088_aecce4ebba_o.jpg\",\"contentUrl\":\"https:\/\/farm1.staticflickr.com\/927\/29572727088_aecce4ebba_o.jpg\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/#webpage\",\"url\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/\",\"name\":\"NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium) - 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NCERT Solutions","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium) - NCERT Solutions","og_description":"NCERT Solutions for Class 10 Maths Chapter 1\u00a0Real Numbers (Hindi Medium) These Solutions are part of NCERT Solutions for Class 10 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers. Chapter 1. \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0905\u092d\u094d\u092f\u093e\u0938 1.1 Ex 1.1 Class 10 \u0917\u0923\u093f\u0924 \u092a\u094d\u0930.1. \u092f\u0941\u0915\u094d\u0932\u093f\u0921 \u0935\u093f\u092d\u093e\u091c\u0928 \u0905\u0932\u094d\u0917\u094b\u0930\u093f\u0925\u092e \u0915\u0947 &hellip; NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium) Read More &raquo;","og_url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/","og_site_name":"NCERT Solutions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2021-06-21T05:04:09+00:00","og_image":[{"url":"https:\/\/farm1.staticflickr.com\/927\/29572727088_aecce4ebba_o.jpg"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Prasanna","Est. reading time":"18 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/ncertsolutions.guru\/#organization","name":"NCERT Solutions","url":"https:\/\/ncertsolutions.guru\/","sameAs":["https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","https:\/\/www.instagram.com\/ncertsolutionsguru\/","https:\/\/www.linkedin.com\/in\/ncertsolutionsguru\/","https:\/\/in.pinterest.com\/ncertsolutionsguru\/","https:\/\/en.wikipedia.org\/wiki\/National_Council_of_Educational_Research_and_Training","https:\/\/twitter.com\/ncertsolguru"],"logo":{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/#logo","inLanguage":"en-US","url":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1","contentUrl":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1","width":460,"height":45,"caption":"NCERT Solutions"},"image":{"@id":"https:\/\/ncertsolutions.guru\/#logo"}},{"@type":"WebSite","@id":"https:\/\/ncertsolutions.guru\/#website","url":"https:\/\/ncertsolutions.guru\/","name":"NCERT Solutions","description":"NCERT Solutions for Class 1 to 12","publisher":{"@id":"https:\/\/ncertsolutions.guru\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/ncertsolutions.guru\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/#primaryimage","inLanguage":"en-US","url":"https:\/\/farm1.staticflickr.com\/927\/29572727088_aecce4ebba_o.jpg","contentUrl":"https:\/\/farm1.staticflickr.com\/927\/29572727088_aecce4ebba_o.jpg"},{"@type":"WebPage","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/#webpage","url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-1-in-hindi\/","name":"NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium) - 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