Answer
$22\sqrt{ 3a}-10\sqrt{a}$.
Work Step by Step
The given expression is
$=7\sqrt{12a}+8\sqrt{3a}-10\sqrt{a}$
Factor radicands as square terms.
$=7\sqrt{4\cdot 3a}+8\sqrt{3a}-10\sqrt{a}$
Simplify.
$=7\cdot 2\sqrt{ 3a}+8\sqrt{3a}-10\sqrt{a}$
$=14\sqrt{ 3a}+8\sqrt{3a}-10\sqrt{a}$
Use the distributive property.
$=(14+8)\sqrt{ 3a}-10\sqrt{a}$
Simplify.
$=22\sqrt{ 3a}-10\sqrt{a}$.