Answer
$34\sqrt{2}$
Work Step by Step
$3\sqrt{18} + 5\sqrt{50}$
By the Product Rule for Square Roots
$=3(\sqrt{9} \cdot \sqrt{2}) + 5(\sqrt{25} \cdot \sqrt{2})$
$=3(3 \cdot \sqrt{2}) + 5(5 \cdot \sqrt{2})$
$=9\sqrt{2} + 25\sqrt{2}$
By the Distributive Property
$=(9+25)\sqrt{2}$
$=34\sqrt{2}$
