Question

What is the square root of $\frac{25}{36}$?

Answer 1

Determine the square root of$\frac{25}{36}$.

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

Find the prime factors$\frac{25}{36}$:

$\frac{25}{36}=\frac{5\times 5}{6\times 6}$

Take square root from both sides of the above equation:

$$\begin{gathered} \sqrt{\frac{25}{36}}=\sqrt{\frac{5\times 5}{6\times 6}} \\ \Rightarrow \sqrt{\frac{25}{36}}=\frac{\sqrt{5\times 5}}{\sqrt{6\times 6}} \\ \Rightarrow \sqrt{\frac{25}{36}}=\frac{5}{6} \end{gathered}$$

Hence, the square root of $\frac{25}{36}$ is $\frac{5}{6}$.