# How do you simplify sqrt 80 / sqrt 5?

It is $\frac{\sqrt{80}}{\sqrt{5}} = \left(\sqrt{\frac{5 \cdot 16}{5}}\right) = \sqrt{16} = 4$

Sep 17, 2015

$4$

#### Explanation:

$\frac{\sqrt{80}}{\sqrt{5}}$ can also be written as sqrt((80/5) or ${\left(\frac{80}{5}\right)}^{\frac{1}{2}}$

Simplify $\frac{80}{5}$ or in other terms, divide $80$ by $5$;

$= \sqrt{\frac{\cancel{80} 16}{\cancel{5} 1}}$

$= \sqrt{16}$

$= 4$