Question

simplify.
\frac{-6 + 2\sqrt{6}}{12}

Explanation:

Step1: Factor out the greatest - common factor from the numerator.

The GCF of - 6 and 2 is 2. So, $\frac{-6 + 2\sqrt{6}}{12}=\frac{2(-3+\sqrt{6})}{12}$

Step2: Simplify the fraction.

Cancel out the common factor 2 in the numerator and denominator. $\frac{2(-3+\sqrt{6})}{12}=\frac{-3+\sqrt{6}}{6}=-\frac{3}{6}+\frac{\sqrt{6}}{6}=-\frac{1}{2}+\frac{\sqrt{6}}{6}$

Answer:

$-\frac{1}{2}+\frac{\sqrt{6}}{6}$