Question

Find the square root of the following number by factorisation.
$13225$

Answer 1

Here, we are given that $x=(13225{)}^{1/2}$.

We have to find $x$

By Factorization method.

So, $\left(13225\right)=5\times 5\times 23\times 23$

$=5^2\times {23}^2$

$x=(13225{)}^{1/2}=[5^2\times {23}^2{]}^{1/2}$

$x=5\times 23=115$