Question

What is the square root of $2025$?

Answer 1

Determine the square root of $2025$.

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

Find the prime factors of $2025$:

$150=3\times 3\times 3\times 3\times 5\times 5$

Take the square root from both sides of the above equation:

$$\begin{gathered} \sqrt{150}=\sqrt{3\times 3\times 3\times 3\times 5\times 5} \\ \Rightarrow \sqrt{150}=3\times 3\times 5 \\ \Rightarrow \sqrt{150}=45 \end{gathered}$$

Hence, the square root of $2025$ is $45$.