# Chapter 7 - Section 7.3 - Multiplying and Simplifying Radical Expressions - Exercise Set - Page 531: 65

$6x$

#### 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: $=\sqrt{(12x)(3x)} \\=\sqrt{36x^2}$ Factor the radicand (expression inside the radical sign) so that at least one factor is a perfect square, and then simplify to obtain: $=\sqrt{(6x)(6x)} \\=\sqrt{(6x)^2} \\=6x$ (There is no need for the absolute value since $x$ is a positive, real number.)

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