Question

What is the square root of the number $676$.

Answer 1

Prime factorisation of $676$ is

$\begin{array}{cc}2& 676\\ 2& 338\\ 13& 169\\ 13& 13\\ & 1\end{array}$

$676=2\times 2\times 13\times 13$

$\sqrt{676}=\sqrt{2\times 2\times 13\times 13}=2\times 13=26$

The square root of $676$ is $26.$