# How do you simplify 15/sqrt3?

Mar 13, 2016

$5 \sqrt{3}$

#### Explanation:

We want to rationalize the denominator, or eliminate the square root from the denominator.

To do this, multiply the fraction by $\frac{\sqrt{3}}{\sqrt{3}}$.

$= \frac{15}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}$

In the denominator, we see that $\sqrt{3} \cdot \sqrt{3} = 3$.

$= \frac{15 \sqrt{3}}{3}$

Now, recognize the fraction can be simplified since $\frac{15}{3} = 5$.

$= 5 \sqrt{3}$