# How do you simplify sqrt 6 + sqrt (2/3)?

Feb 4, 2017

$\sqrt{6} + \sqrt{\frac{2}{3}} = \frac{4 \sqrt{6}}{3}$

#### Explanation:

$\sqrt{6} + \sqrt{\frac{2}{3}}$

= $\sqrt{6} + \frac{\sqrt{2}}{\sqrt{3}}$

= $\sqrt{6} + \frac{\sqrt{2}}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

= $\sqrt{6} + \frac{\sqrt{6}}{3}$

= $\sqrt{6} \left(1 + \frac{1}{3}\right)$

= $\frac{4 \sqrt{6}}{3}$