Question

Find the square root of $54$ in radical form.

Answer 1

Step 1: Find the prime factors

The prime factors of $54$ are

$54=3\times 3\times 3\times 2$

Step 2: Find the square root

The square root of $54$ is

$$\begin{gathered} 54=2\times 3\times 3\times 3 \\ \Rightarrow \sqrt{54}=\sqrt{2\times 3\times 3\times 3} \\ \Rightarrow \sqrt{54}=3\sqrt{6} \end{gathered}$$

Hence, the square root of $54$ is $3\sqrt{6}$.