# How do you simplify sqrt(1/81)?

Mar 5, 2016

$\frac{1}{9}$

#### Explanation:

You should know that $81 = {9}^{2}$

So you have :

$\sqrt{{1}^{2} / {9}^{2}}$

the sqrt function divides the exponents by two:

so you have:

${1}^{\frac{2}{2}} / {9}^{\frac{2}{2}} = \frac{1}{9}$