{"id":27262,"date":"2021-06-30T10:09:43","date_gmt":"2021-06-30T04:39:43","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=27262"},"modified":"2021-06-30T10:15:17","modified_gmt":"2021-06-30T04:45:17","slug":"ncert-solutions-for-class-8-maths-chapter-6-ex-6-2","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 6 Square and Square Roots Ex 6.2 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Exercise 6.2<\/h2>\n

Question 1.
\nFind the square of the following numbers.
\n(i) 32
\n(ii) 35
\n(iii) 86
\n(iv) 93
\n(v) 71
\n(vi) 46
\nSolution:
\n(i) 322<\/sup>
\n= (30 + 2)2<\/sup>
\n= 302<\/sup> + 2 (30) (2) + 22<\/sup> [\u2235 (a + b)2<\/sup> = a2<\/sup> + 2ab + b2<\/sup> ]
\n= 900 + 120 + 4
\n= 1024<\/p>\n

(ii) 352<\/sup>
\n= (30 + 5)2<\/sup>
\n= 302<\/sup> + 2 (30) (5) + 52<\/sup>
\n= 900 + 300 + 25
\n= 1225<\/p>\n

(iii) 862<\/sup>
\n= (80 + 6)2<\/sup>
\n= 802<\/sup> + 2 (80) (6) + 62<\/sup>
\n= 6400 + 960 + 36
\n= 7396<\/p>\n

\"NCERT<\/p>\n

(iv) 932<\/sup>
\n= (90 + 3)2<\/sup>
\n= 902<\/sup> + 2 (90) (3) + 32<\/sup>
\n= 8100 + 540 + 9
\n= 8649<\/p>\n

(v) 712
\n= (70 + 1)2<\/sup>
\n= 702<\/sup> + 2(70) (1) + 12<\/sup>
\n= 4900 + 140 + 1
\n= 5041<\/p>\n

(vi) 462<\/sup>
\n= (40 + 6)2<\/sup>
\n= 402<\/sup> + 2 (40) (6) + 62<\/sup>
\n= 1600 + 480 + 36
\n= 2116<\/p>\n

Question 2.
\nWrite a Pythagorean triplet whose one member is
\n(i) 6
\n(ii) 14
\n(iii) 16
\n(iv) 18
\nSolution:
\n(i) Let 2n = 6
\nn = \\(\\frac{6}{2}\\) = 3<\/p>\n

n2<\/sup> – 1
\n= 32<\/sup> – 1
\n= 8<\/p>\n

n2<\/sup> + 1
\n= 32<\/sup> + 1
\n= 10
\n\u2234 The required Pythagorean triplet is 6, 8 and 10.<\/p>\n

(ii) Let 2n = 14
\nn = \\(\\frac{14}{2}\\) = 7<\/p>\n

n2<\/sup> – 1
\n= 72<\/sup> – 1
\n= 49 – 1
\n= 48<\/p>\n

n2<\/sup> + 1
\n= 72<\/sup> + 1
\n= 49 + 1
\n= 50
\n\u2234 Thus, the required Pythagorean triplet is 14, 48 and 50.<\/p>\n

\"NCERT<\/p>\n

(iii) Let 2n = 16
\nn = \\(\\frac{16}{2}\\) = 8<\/p>\n

n2<\/sup> – 1
\n= 82<\/sup> – 1
\n= 64 – 1
\n= 63<\/p>\n

n2<\/sup> + 1
\n= 82<\/sup> + 1
\n= 64 + 1
\n= 65
\n\u2234 The required Pythagorean triplet is 16, 63 and 65.<\/p>\n

(iv) Let 2n = 18
\nn = \\(\\frac{18}{2}\\) = 9<\/p>\n

n2<\/sup> – 1
\n= 92<\/sup> – 1
\n= 81 – 1
\n= 80<\/p>\n

n2<\/sup> + 1
\n= 92<\/sup> + 1
\n= 81 + 1
\n= 82
\n\u2234 The required Pythagorean triplet is 18, 80 and 82.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Exercise 6.2 Question 1. Find the square of the following numbers. (i) 32 (ii) 35 (iii) 86 …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2<\/span> Read More »<\/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":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 - 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-8-maths-chapter-6-ex-6-2\/\" \/>\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 8 Maths Chapter 6 Square and Square Roots Ex 6.2 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Exercise 6.2 Question 1. Find the square of the following numbers. (i) 32 (ii) 35 (iii) 86 … NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/\" \/>\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=\"2021-06-30T04:39:43+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-06-30T04:45:17+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png\" \/>\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=\"3 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-8-maths-chapter-6-ex-6-2\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"width\":170,\"height\":17,\"caption\":\"NCERT Solutions\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#webpage\",\"url\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/\",\"name\":\"NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 - NCERT Solutions\",\"isPartOf\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#primaryimage\"},\"datePublished\":\"2021-06-30T04:39:43+00:00\",\"dateModified\":\"2021-06-30T04:45:17+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/ncertsolutions.guru\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#webpage\"},\"author\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\"},\"headline\":\"NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2\",\"datePublished\":\"2021-06-30T04:39:43+00:00\",\"dateModified\":\"2021-06-30T04:45:17+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#webpage\"},\"wordCount\":157,\"publisher\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\"},\"image\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png\",\"articleSection\":[\"CBSE Class 8\"],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/ncertsolutions.guru\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 - 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-8-maths-chapter-6-ex-6-2\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 - NCERT Solutions","og_description":"These NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Exercise 6.2 Question 1. Find the square of the following numbers. (i) 32 (ii) 35 (iii) 86 … NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 Read More »","og_url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/","og_site_name":"NCERT Solutions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2021-06-30T04:39:43+00:00","article_modified_time":"2021-06-30T04:45:17+00:00","og_image":[{"url":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Prasanna","Est. reading time":"3 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-8-maths-chapter-6-ex-6-2\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","contentUrl":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","width":170,"height":17,"caption":"NCERT Solutions"},{"@type":"WebPage","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#webpage","url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/","name":"NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 - NCERT Solutions","isPartOf":{"@id":"https:\/\/ncertsolutions.guru\/#website"},"primaryImageOfPage":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#primaryimage"},"datePublished":"2021-06-30T04:39:43+00:00","dateModified":"2021-06-30T04:45:17+00:00","breadcrumb":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/ncertsolutions.guru\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2"}]},{"@type":"Article","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#article","isPartOf":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#webpage"},"author":{"@id":"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3"},"headline":"NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2","datePublished":"2021-06-30T04:39:43+00:00","dateModified":"2021-06-30T04:45:17+00:00","mainEntityOfPage":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#webpage"},"wordCount":157,"publisher":{"@id":"https:\/\/ncertsolutions.guru\/#organization"},"image":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-6-ex-6-2\/#primaryimage"},"thumbnailUrl":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png","articleSection":["CBSE Class 8"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/ncertsolutions.guru\/author\/prasanna\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts\/27262"}],"collection":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/comments?post=27262"}],"version-history":[{"count":0,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts\/27262\/revisions"}],"wp:attachment":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/media?parent=27262"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/categories?post=27262"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/tags?post=27262"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}