Question

Find the square root of a number $529$ by prime factorisation method.

Answer 1

Using prime factorisation method,

$\begin{array}{cc}23& 529\\ 23& 23\\ & 1\end{array}$

$\therefore 529=23\times 23={23}^2$

Taking square root on both the sides, we get
$\sqrt{529}=\sqrt{{23}^2}=23$

Hence, $\sqrt{529}=23$