Answer
$14\sqrt3$
Work Step by Step
The given expression is
$=4\sqrt3+5\sqrt{12}$
Factor as square terms.
$=4\sqrt3+5\sqrt{4\cdot 3}$
Use product property of square roots.
$=4\sqrt3+5\sqrt{4}\cdot \sqrt{3}$
Simplify.
$=4\sqrt3+5\cdot 2\sqrt{3}$
$=4\sqrt3+10\sqrt{3}$
Factor out $\sqrt{3}$.
$=(4+10)\sqrt3$
Simplify.
$=14\sqrt3$
