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

$|8-t|$
$\bf{\text{Solution Outline:}}$ Use the properties of radicals to simplify the given expression, $\sqrt{(8-t)^2} .$ $\bf{\text{Solution Details:}}$ Since $\sqrt{x^2}=|x|$ for any real value $x,$ the expression above simplifies to \begin{array}{l}\require{cancel} \sqrt{(8-t)^2} \\\\= |8-t| .\end{array}