# How do you simplify sqrt5/sqrt3?

Dec 21, 2016

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

#### Explanation:

Simplify $\frac{\sqrt{5}}{\sqrt{3}}$

Radicals are not "allowed" in the denominator, at least not until you get to higher levels of math. To get rid of the radical, you must "rationalize" the denominator by multiplying both the numerator and denominator by the denominator.

In this case, we multiply by $\frac{\sqrt{3}}{\sqrt{3}}$. Note that $\frac{\sqrt{3}}{\sqrt{3}} = 1$, and multiplying by one does not change the value of a number.

$\frac{\sqrt{5}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{15}}{\sqrt{9}} = \frac{\sqrt{15}}{3}$