Question

Find the square root of $45$

Answer 1

Step 1: Find the prime factors

The prime factors of $45$ are

$45=3\times 3\times 5$

Step 2: Find the square root

The square root of $45$ is

$$\begin{gathered} \sqrt{45}=\sqrt{3\times 3\times 5} \\ \Rightarrow \sqrt{45}=3\sqrt{5} \\ \Rightarrow \sqrt{45}=3\times \left(2.2360\right) \\ \Rightarrow \sqrt{45}=6.708 \end{gathered}$$

Hence the square root of $45$ is $6.708$