{"id":27262,"date":"2021-06-30T10:09:43","date_gmt":"2021-06-30T04:39:43","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=27262"},"modified":"2022-03-02T10:31:32","modified_gmt":"2022-03-02T05:01:32","slug":"ncert-solutions-for-class-8-maths-chapter-6-ex-6-2","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/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":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots Ex 6.2 - MCQ Questions<\/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:\/\/mcq-questions.com\/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 - MCQ Questions\" \/>\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. 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