Question

How to solve the square root of $576$?

Answer 1

Compute the required square root:

Prime factorization of $576$ and taking square root on both sides.

$\Rightarrow$ $576=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

$$\begin{gathered} \Rightarrow \sqrt{576}=\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 3\times 3} \\ \Rightarrow \sqrt{576}=\sqrt{2^2\times 2^2\times 2^2\times 3^2} \\ \Rightarrow \sqrt{576}=2\times 2\times 2\times 3 \\ \Rightarrow \sqrt{576}=24 \end{gathered}$$

Hence, the square root of $576$ is $24$.