# How do you simplify sqrt(8/9)?

Mar 26, 2018

$\sqrt{\frac{8}{9}}$ can be simplified to $\frac{2 \sqrt{2}}{3}$.

#### Explanation:

When you square root a fraction, both the numerator and denominator get square rooted.
$\sqrt{\frac{8}{9}}$
$= \frac{\sqrt{8}}{\sqrt{9}}$
$= \frac{\sqrt{4 \cdot 2}}{3}$
$= \frac{\sqrt{4} \cdot \sqrt{2}}{3}$
$= \frac{2 \sqrt{2}}{3}$