Question

What is the square root of $125$?

Answer 1

Determine the square root of $125$.

The square root of a number is the value that returns the original number multiplied by itself.

The prime factorization of $125$ can be written as:

$125=5\times 5\times 5$

Take square root from both sides of the above equation:

$$\begin{gathered} \sqrt{125}=\sqrt{5\times 5\times 5} \\ \Rightarrow =5\sqrt{5} \end{gathered}$$

Hence, the square root of $125$ is$5\surd 5$.