# How do you simplify sqrt(1/5 )?

Mar 21, 2018

final answer will be: $\frac{\sqrt{5}}{5}$

#### Explanation:

$\sqrt{\frac{1}{5}}$ = $\frac{\sqrt{1}}{\sqrt{5}}$

*$\sqrt{1}$=$1$

$\frac{\sqrt{1}}{\sqrt{5}}$ = $\frac{1}{\sqrt{5}}$

*can't have radical in denominator so multiply to get rid of it

$\left(\frac{1}{\sqrt{5}}\right) \cdot \left(\frac{\sqrt{5}}{\sqrt{5}}\right)$

= $\frac{\sqrt{5}}{\sqrt{5}} ^ 2$

= $\frac{\sqrt{5}}{5}$