Answer
$45\sqrt{10}$
Work Step by Step
RECALL:
For any non-negative real numbers a and b,
$\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{ab}$
Use the rule above to obtain:
$=3\cdot 5\sqrt{(15)(6)}
\\=15\sqrt{90}$
Factor the radicand (expression inside the radical sign) so that at least one factor is a perfect square, and then simplify to obtain:
$=15\sqrt{9(10)}
\\=15 \cdot 3\sqrt{10}
\\=45\sqrt{10}$
