Find the square roots of the following numbers by the Prime Factorization method: (i) 729 (ii) 400 (iii) 1764 (iv) 4096 (v) 7744 (vi) 9604 (vii) 5929 (viii) 9216 (ix) 529 (x) 8100

(i) 729
√729 = √3x3x3x3x3x3x
= 3x3x3
= 27

(ii) 400
√400 = √2x2x2x2x5x5
= 2x2x5
= 20

(iii) 1764
√1764 = √2x2x3x3x7x7
= 2x3x7
= 42
(iv) 4096
√4096 = √2x2x2x2x2x2x2x2x2x2x2x2
= 2x2x2x2x2x2x
= 64
(v) 7744
√7744 = √2x2x2x2x2x2x11x11
= 2x2x2x11
= 88
(vi) 9604
√9604 = √2x2x7x7x7x7
= 2x7x7
= 98

(vii) 5929
√5929 = √7x7x11x11
= √7×11
= 77
(viii) 9216
√9216 = √2x2x2x2x2x2x2x2x2x2x3x3
= 2x2x2x2x2x3
= 96

(ix) 529
√529 = √23×23
= 23
(x) 8100
√8100 =√2x2x3x3x3x3x5x5
= 2x3x3x5
= 90

Class 8 Maths Chapter 6 Exercise 6.3 Solution in Video

for more answers vist to:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-6/