# How do you simplify 3sqrt(2/9)?

Sep 17, 2015

The answer is $\sqrt{2}$.

#### Explanation:

$3 \sqrt{\frac{2}{9}}$

Simplify.

$3 \times \frac{\sqrt{2}}{\sqrt{9}}$

$\sqrt{9} = 3$

$3 \times \frac{\sqrt{2}}{3}$

Cancel the $3$ in the numerator and denominator.

$\cancel{3} \times \frac{\sqrt{2}}{\cancel{3}} = \sqrt{2}$