Answer
$\sqrt{3}\cdot\sqrt{27}=9$
Work Step by Step
$\sqrt{3}\cdot\sqrt{27}\qquad$ ...apply the Product Property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$
$=\sqrt{3\cdot 27}\qquad$ ...simplify.
$=\sqrt{81}\qquad$ ...take square root.($9^{2}=81$)
$=9$