Question

How do you find the square root $529$?

Answer 1

Find the square root using prime factorization method

Given number, $529$

Then the square root of $529$ is

$\begin{array}{rcl}529& =& 23\times 23\\ & \Rightarrow & \sqrt{529}=\sqrt{23\times 23}\\ & \Rightarrow & \sqrt{529}=23\end{array}$

Hence, the square root of $\mathbf{529}$ is $\mathbf{23}$.