# What is the square root of 20/125?

Mar 31, 2018

$\frac{2}{5}$

#### Explanation:

Simplify $\left(\frac{20}{125}\right)$ first, as neither $20$ nor $125$ are perfect squares.

$\sqrt{\frac{20}{125}} = \sqrt{\frac{2 \times 2 \times \cancel{5}}{5 \times 5 \times \cancel{5}}}$

$= \frac{2}{5}$