Answer
$8\sqrt{3}+2\sqrt{6}$
Work Step by Step
The given expression is
$=\sqrt{12}+6\sqrt{3}+2\sqrt{6}$
Factor as square terms.
$=\sqrt{4\cdot 3}+6\sqrt{3}+2\sqrt{6}$
Use product property of square roots.
$=\sqrt{4}\cdot \sqrt{3}+6\sqrt{3}+2\sqrt{6}$
Use $\sqrt {4}=2$.
$=2 \sqrt{3}+6\sqrt{3}+2\sqrt{6}$
Use distributive property.
$=(2+6)\sqrt{3}+2\sqrt{6}$
Subtract.
$=8\sqrt{3}+2\sqrt{6}$
