# Chapter P - Section P.3 - Radicals and Rational Exponents - Exercise Set: 14

$3\sqrt{3}$

#### Work Step by Step

RECALL: For any non-negative real numbers $a$ and $b$, $\sqrt{ab} = \sqrt{a}\cdot \sqrt{b}$ and $\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}$. Simplify the given expression by using the rule above to obtain $\sqrt{9} \cdot \sqrt{3} \\=\sqrt{3^2} \cdot \sqrt{3} \\=3\sqrt{3}.$

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