Answer
$\frac{\sqrt 3}{2}$
Work Step by Step
$\frac{3}{\sqrt 12}$
To simplify we need to get the square root in the numerator.
We mutiply $\frac{3}{\sqrt 12}$ by $\frac{\sqrt 12}{\sqrt 12}$
$\frac{3}{\sqrt 12} \times \frac{\sqrt 12}{\sqrt 12}$
$\frac{3 x \sqrt 12}{\sqrt 12 x \sqrt 12}$
$\frac{3 \sqrt 12}{\sqrt 144}$
The $\sqrt 12$ has a perfect square of 2 so we take it out and we are left with $\sqrt 3$
$\frac{6 \sqrt 3}{\sqrt 144}$
Square root of 144 is 12. Because 12 x 12 = 144
$\frac{6 \sqrt 3}{12}$
We divide 6 by twelve which is 2.
$\frac{\sqrt 3}{2}$
