# What is the square root of the fraction 125/80?

Apr 22, 2018

$\sqrt{\frac{125}{80}} = \frac{5}{4}$

#### Explanation:

$\sqrt{\frac{125}{80}}$

Neither $125$ nor $80$ are perfect squares.

However they have a common factor of $5$. Simplify.

$\sqrt{\frac{125}{80}} = \sqrt{\frac{125 \div 5}{180 \div 5}}$

$= \sqrt{\frac{25}{16}}$

$= \frac{5}{4}$