Answer
$3\sqrt{2x}$
Work Step by Step
$\sqrt{50x} - \sqrt{8x}$
By the Product Rule for Square Roots
$=(\sqrt{25} \cdot \sqrt{2x}) - (\sqrt{4} \cdot \sqrt{2x})$
$=5\sqrt{2x} - 2\sqrt{2x}$
By the Distributive Property
$=(5-2)\sqrt{2x}$
$=3\sqrt{2x}$