Simplifying

**Coach** · December 3rd 2007, 09:58 AM

Can someone please help me simplfiy this?

$<br /> \frac{-2+\sqrt{12}}{-2}<br />$

Thank you!

**topsquark** · December 3rd 2007, 10:07 AM

Originally Posted by Coach

Can someone please help me simplfiy this?

$<br /> \frac{-2+\sqrt{12}}{-2}<br />$

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

**Coach** · December 3rd 2007, 10:37 AM

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

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

**earboth** · December 3rd 2007, 10:53 AM

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.

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