# How do you simplify 5sqrt6 + sqrt6?

Jun 27, 2016

Do a little factoring and adding to get $6 \sqrt{6}$.

#### Explanation:

Begin by factoring out $\sqrt{6}$:
$\sqrt{6} \left(5 + 1\right)$

Note that if we distributed the $\sqrt{6}$, we would get $5 \sqrt{6} + \sqrt{6}$, which is our original expression.

Now add $5 + 1$ in the parentheses:
$\sqrt{6} \left(6\right)$

Finally, rewrite so it looks a little neater:
$6 \sqrt{6}$