# Math Help - Simplifying

1. ## Simplifying

$
\frac{-2+\sqrt{12}}{-2}
$

Thank you!

2. Originally Posted by Coach

$
\frac{-2+\sqrt{12}}{-2}
$

Thank you!
Let's start with the $\sqrt{12}$:

$\sqrt{12} = \sqrt{4 \cdot 3} = \sqrt{4} \cdot \sqrt{3}$

$= \sqrt{2^2} \cdot \sqrt{3} = 2 \sqrt{3}$

Put that into your fraction and simplify.

-Dan

3. $\frac{-2+2\sqrt{3}}{-2}$

Is it like this? Am I allowed to simplify it further by dividing 2 by -2 ?

4. Originally Posted by Coach
$\frac{-2+2\sqrt{3}}{-2}$

Is it like this? Am I allowed to simplify it further by dividing 2 by -2 ?
Hello,

be careful! You only can cancel factors never summands:

$\frac{-2+2\sqrt{3}}{-2}=\frac{-2(1-\sqrt{3})}{-2}$

and now it is possible to cancel.