Question

How do you find the square root $25$?

Answer 1

Find the square root using prime factorization method:

The prime factors of $25$ are

$25=5\times 5$

Therefore the square root of $25$ is

$\begin{array}{rcl}25& =& 5\times 5\\ & \Rightarrow & \sqrt{25}=\sqrt{5\times 5}\\ & \Rightarrow & \sqrt{25}=5\end{array}$

Hence, the square root of $\mathbf{25}$ is $\mathbf{5}$.