Answer
$-2\sqrt{3}$
Work Step by Step
$4\sqrt{12} - 2\sqrt{75}$
By the Product Rule for Square Roots
$=4(\sqrt{4} \cdot \sqrt{3}) - 2(\sqrt{25} \cdot \sqrt{3})$
$=4(2 \cdot \sqrt{3}) - 2(5 \cdot \sqrt{3})$
$=8\sqrt{3} - 10\sqrt{3}$
By the Distributive Property
$=(8-10)\sqrt{3}$
$=-2\sqrt{3}$
