Question

1) Find the square roots of the following
numbers by the method of prime
factorisation
(i) 484
(ii) 1156 (iii) 1444
(iv) 1681 (v) 2601
(vi) 3844
(vii) 9216 (viii) 9604 (ix) 41,616
(x) 2.70,400 (xi) 3,72,100 (xii) 5,62,500
(xiii) 1,02,400 (xiv) 2,60,100 (xv) 44,521​

Answer 1

Answer:

I'm showing some of them to you. The rest are similar problems which you must try doing on your own, for your own good.

(i)484

Resolving 484 as the product of primes, we get

484= 2×2×11×11

root over 484 = root over(2×2×11×11)

= 2×11

Therefore root over 484 = 22 (answer).

(ix) 41616

41616= 2×2×2×2×3×3×17×17

41616= 2^2 × 3^2 × 17^2

root over 41616 = root over 2^2 × 3^2 × 17^2

= 2×2×3×17

=204 (answer)

Hope it helps

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