# Chapter P - Section P.3 - Radicals and Rational Exponents - Exercise Set - Page 45: 19

$x\sqrt{x}$

#### Work Step by Step

RECALL: (i) For any non-negative real numbers $a$ and $b$, $\sqrt{ab} = \sqrt{a}\cdot \sqrt{b}$ and $\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}$. (ii) For any non-negative real number $a$, $\sqrt{a^2}=a$. Factor the radicand so that one of the factors is a perfect square to obtain $\\\sqrt{x^2(x)}.$ Use rule (i) above to obtain $\sqrt{x^2} \cdot \sqrt{x}.$ Use rule (ii) above to obtain $x\sqrt{x}.$

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