# How do you simplify 3/(sqrt(5x)-3)?

Sep 2, 2016

$\frac{3 \sqrt{5 x} + 9}{5 x - 9}$

#### Explanation:

It is not good practice to have a radical in the denominator - we get rid of it by "rationalising the denominator"

$\frac{3}{\sqrt{5 x} - 3} \times \frac{\sqrt{5 x} + 3}{\sqrt{5 x} + 3} = \frac{3 \left(\sqrt{5 x} + 3\right)}{{\sqrt{5 x}}^{2} - {3}^{2}}$

=$\frac{3 \sqrt{5 x} + 9}{5 x - 9}$