# How do you simplify the expression sqrt(2/3)+sqrt6?

Oct 11, 2017

$4 \sqrt{\frac{2}{3}}$

#### Explanation:

I can rewrite the second term in the expression like so:

$\sqrt{\frac{2}{3}} + \sqrt{\frac{18}{3}}$

Then factor out a $\frac{2}{3}$:

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

Use properties of square roots:

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

Take the square root of $9$:

$1 \sqrt{\frac{2}{3}} + 3 \sqrt{\frac{2}{3}}$

$4 \sqrt{\frac{2}{3}}$