Question

How do you find the square root $3969$?

Answer 1

Find the square root:

Given number, $3969$

The prime factors of $3969$ are

$3969=3\times 3\times 3\times 3\times 7\times 7$

Therefore the square root of $3969$ is

$\begin{array}{rcl}3969& =& 3\times 3\times 3\times 3\times 7\times 7\\ & \Rightarrow & \sqrt{3969}=\sqrt{3\times 3\times 3\times 3\times 7\times 7}\\ & \Rightarrow & \sqrt{3969}=3\times 3\times 7\\ & \Rightarrow & \sqrt{3969}=63\end{array}$

Hence, the square root of $\mathbf{3969}$ is $\mathbf{63}$.