# How do you simplify 3 sqrt (1/8)?

Mar 23, 2018

$\frac{1}{2}$

#### Explanation:

Both $1 \mathmr{and} 8$ are perfect cubes, so can find the cube root of the whole fraction.

$\sqrt[3]{\frac{1}{8}}$

$= \frac{\sqrt[3]{1}}{\sqrt[3]{{2}^{3}}}$

$= \frac{1}{2}$

Mar 23, 2018

$\frac{1}{2}$
$\sqrt[3]{\frac{1}{8}} = \frac{\sqrt[3]{1}}{\sqrt[3]{8}} = \frac{1}{2}$