# How do you simplify (9sqrt5)/sqrt3?

May 9, 2015

Simplify $\frac{9 \sqrt{5}}{\sqrt{3}}$ .

Rationalize the denominator by multiplying the numerator and denominator times $\sqrt{3}$.

$\frac{9 \sqrt{5}}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$ =

$\frac{9 \sqrt{5} \times \sqrt{3}}{3}$=

Simplify.

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

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

Simplify.

$\left(\frac{9}{3}\right) \sqrt{15}$ =

$3 \sqrt{15}$