Answer
$15\sqrt6$
Work Step by Step
$3\sqrt{150}\longrightarrow$ factor out perfect squares
=$3\sqrt{25\times6}\longrightarrow$ multiplication property of square roots
=3$\sqrt{25}\times\sqrt6\longrightarrow$ simplify
=$3\times5\sqrt6\longrightarrow$ multiply
=$15\sqrt6$