# How do you simplify \frac{2}{\sqrt{3}}?

Apr 14, 2018

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

#### Explanation:

You want to get rid of the radical in the denominator. The way to do this is to square the denominator so they cancel out. However, you must do this to both the numerator and the denominator to make it equal.

$\frac{2}{\sqrt{3}} = \frac{2}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}$

Note that multiplying both sides by $\frac{\sqrt{3}}{\sqrt{3}}$ is fine because that simply equals $1$, and anything times $1$ is itself.

$= \frac{2 \sqrt{3}}{3}$ because $\sqrt{3} \cdot \sqrt{3}$ removes the radical and becomes the radicand, $3$.