Question

How do you find the square root of $343$?

Answer 1

Find the square root using prime factorization method

The square root of $343$ is

$$\begin{gathered} 343=7\times 7\times 7 \\ \Rightarrow \sqrt{343}=\sqrt{7\times 7\times 7} \\ \Rightarrow \sqrt{343}=7\sqrt{7} \end{gathered}$$

Hence, the square root of $343$ is $7\sqrt{7}$.