Question

How to find the square root of 5625 by the process?

Answer 1

Answer: The prime factors of 5625 is 3 x 3 x 5 x 5 x 5 x 5. Hence, 3^2 x 5^2 x 5^2 = 5625. Thus the square root of 5625 is 75.

Answer 2

The prime factorisation of 5625 is:

5625 = 5×5×5×5×3×3

Taking the square root on both sides.

$\sqrt 5625 = \sqrt{5 \times 5 \times 5 \times 5 \times 3 \times 3}$

=25×3

=75

Therefore, the square root of 5625 is 75.