Question

How do you find the square root of $2704$?

Answer 1

Find the square root using prime factorization method

The square root of $2704$ is

$$\begin{gathered} 2704=2\times 2\times 2\times 2\times 13\times 13 \\ \Rightarrow \sqrt{2704}=\sqrt{2\times 2\times 2\times 2\times 13\times 13} \\ \Rightarrow \sqrt{2704}=2\times 2\times 13 \\ \Rightarrow \sqrt{2704}=52 \end{gathered}$$

Hence, the square root of $2704$ is $52$.