Question

Find the square root of $1225$

Answer 1

Finding the square root of the given number

Given number $1225$.

A perfect square can always be expressed as a product of pairs of equal factors.

Using Prime factorization method,

$1225=5\times 5\times 7\times 7=5^2\times 7^2$

Hence, square root of $1225=\sqrt{5^2\times 7^2}=5\times 7=35$.