Answer
$t+5$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of radicals to simplify the given expression, $
\sqrt{(t+5)^2}
.$
$\bf{\text{Solution Details:}}$
Using the properties of radicals, the expression above simplifies to
\begin{array}{l}\require{cancel}
\sqrt{(t+5)^2}
\\\\=
t+5
.\end{array}
Note that it is assumed that radicands were not formed by raising negative numbers to an even power.