Question

How do you find the square root $49$?

Answer 1

Find the square root using prime factorization method:

Given number, $49$

The prime factors of $49$ are

$49=7\times 7$

Therefore the square root of $49$ is

$$\begin{gathered} 49=7\times 7 \\ \Rightarrow \sqrt{49}=\sqrt{7\times 7} \\ \Rightarrow \sqrt{49}=7 \end{gathered}$$

Hence, the square root of $\mathbf{49}$ is $\mathbf{7}$.