# How do you simplify sqrt(18/32)?

Mar 20, 2016

$\frac{3}{4}$

#### Explanation:

First, simplify the fraction inside the square root by dividing by $2 / 2$.

$\sqrt{\frac{18}{32}} = \sqrt{\frac{9}{16}}$

Note that we can use the rule

$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$

When $a , b > 0$.

This gives us

$\sqrt{\frac{9}{16}} = \frac{\sqrt{9}}{\sqrt{16}} = \overline{\underline{|}} \textcolor{w h i t e}{s s} \frac{3}{4} \textcolor{w h i t e}{s s} |$