Answer
$-2\sqrt{30x}$
Work Step by Step
The given expression is
$=\sqrt{5}(2\sqrt{6x}-\sqrt{96x})$
Factor as square terms.
$=\sqrt{5}(2\sqrt{6x}-\sqrt{16\cdot 6x})$
Use product property of square roots.
$=\sqrt{5}(2\sqrt{6x}-\sqrt{16}\cdot \sqrt{6x})$
Simplify.
$=\sqrt{5}(2\sqrt{6x}-4 \sqrt{6x})$
Factor out $\sqrt{6x}$.
$=\sqrt{5}\cdot \sqrt{6x}(2-4 )$
Simplify.
$=\sqrt{5}\cdot \sqrt{6x}(-2)$
Use product property of square roots.
$=\sqrt{5\cdot 6x}(-2)$
Simplify.
$=\sqrt{30x}(-2)$
$=-2\sqrt{30x}$
