Question

Find the square root of $64$.

Answer 1

Step 1: Find the prime factors

The prime factors of $64$ are

$64=2\times 2\times 2\times 2\times 2\times 2$

Step 2: Find the square root

The square root of $64$ is

$$\begin{gathered} 64=2\times 2\times 2\times 2\times 2\times 2 \\ \Rightarrow \sqrt{64}=\sqrt{2\times 2\times 2\times 2\times 2\times 2} \\ \Rightarrow \sqrt{64}=2\times 2\times 2 \\ \Rightarrow \sqrt{64}=8 \end{gathered}$$

Hence, the square root of $64$ is $8$.