Answer
$60\sqrt{2}$
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:
$=2\cdot 3\sqrt{(5)(40)}
\\=6\sqrt{200}$
Factor the radicand (expression inside the radical sign) so that at least one factor is a perfect square, and then simplify to obtain:
$=6\sqrt{100(2)}
\\=6\cdot 10\sqrt{2}
\\=60\sqrt{2}$
