# How do you rationalize the denominator and simplify (6sqrt5)/(5sqrt3)?

Aug 29, 2016

$\left(\frac{2}{5}\right) \sqrt{15}$.

#### Explanation:

The Exp.$= \frac{6 \sqrt{5}}{5 \sqrt{3}}$

$= \frac{6 \sqrt{5}}{5 \sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

$= \frac{\left(\cancel{3} \times 2\right) \left(\sqrt{5 \times 3}\right)}{\cancel{3} \times 5}$

$= \left(\frac{2}{5}\right) \sqrt{15}$.