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>\nNCERT 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 <\/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>\nQuestion 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>\nn2<\/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>\nn2<\/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 <\/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>\nn2<\/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>\nn2<\/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 \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n