# How do you rationalize the denominator and simplify 3/(sqrt3-1)?

Aug 1, 2016

$= 3 \frac{\sqrt{3} + 1}{2}$

#### Explanation:

Multiplying numerator and denominator of$\frac{3}{\sqrt{3} - 1}$ by $\sqrt{3} + 1$
we get
3(sqrt3+1)/((sqrt3-1)(sqrt3+1)
$= 3 \frac{\sqrt{3} + 1}{3 - 1}$
$= 3 \frac{\sqrt{3} + 1}{2}$