# How do you simplify sqrt3 div(sqrt12 - sqrt5)?

May 15, 2018

$\frac{\sqrt{3}}{2 \sqrt{3} - \sqrt{5}}$

#### Explanation:

First, we find the factors of $\sqrt{12}$ and simplify it further.

$\sqrt{12}$ = sqrt(4 xx 3 = $\sqrt{4} \times \sqrt{3}$ = $2 \times \sqrt{3}$

$\frac{\sqrt{3}}{\sqrt{12} - \sqrt{5}}$ ----->we know that $\sqrt{12}$ is $2 \times \sqrt{3}$ and substitute that for $\sqrt{12}$ as shown below:

$\frac{\sqrt{3}}{2 \times \sqrt{3} - \sqrt{5}}$ = $\frac{\sqrt{3}}{2 \sqrt{3} - \sqrt{5}}$