Question

Find the square roots of following numbers by prime factorization method.
(a) 1764
(b) 5929​

Answer 1

Answer:

(a) 1764= 2²×2²×7²

1764 =42

(b) 5929= 11²×7²

5929 =77

Answer 2

Answer:

1764 = 2 x 2 x 3 x 3 x 7 x 7.

1764 = √(2 x 2 x 3 x 3 x 7 x 7)

= 2 x 3 x 7

Therefore, √1764 = 42.

Explanation:

5929

\sqrt{5929}=\sqrt{7\times7\times11\times11}

5929

=

7×7×11×11

= 7 x 11

= 77