Question

Find the square root of $52$ in radical form.

Answer 1

Step 1: Find the prime factors

The prime factors of $52$ are

$52=2\times 2\times 13$

Step 2: Find the square root

The square root of $52$ is

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

Hence, the square root of $52$ is $2\sqrt{13}$