## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$8|t|$
$\bf{\text{Solution Outline:}}$ Use the properties of radicals to simplify the given expression, $\sqrt{64t^2} .$ $\bf{\text{Solution Details:}}$ Using $\sqrt[n]{x^n}=|x|$ if $n$ is even and $\sqrt[n]{x^n}=x$ if $n$ is odd, then \begin{array}{l}\require{cancel} \sqrt{64t^2} \\\\= \sqrt{(8t)^2} \\\\= |8t| \\\\= |8|\cdot|t| \\\\= 8|t| .\end{array}