# How do you simplify 1/sqrt(32)?

Apr 13, 2018

$\sqrt{2}$/8

#### Explanation:

1. rationalize your denominator by multiplying the entire fraction by $\sqrt{32}$
2. you should now have $\sqrt{32}$/32
3. now simplify your numerator " $\sqrt{32}$ ," you should get 4$\sqrt{2}$
4. your new fraction should be 4$\sqrt{2}$/32
5. simplify your fraction $\mathfrak{\frac{4}{32}}$
6. final answer should be $\sqrt{2}$/8
Apr 13, 2018

$\frac{1}{\sqrt{32}} = \frac{\sqrt{2}}{8}$

#### Explanation:

Here,$\frac{1}{\sqrt{32}}$
$= \frac{1}{\sqrt{{\left({2}^{2}\right)}^{2} \cdot 2}}$
$= \frac{1}{4 \sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$

$= \frac{\sqrt{2}}{8}$