#### Answer

$|c+7|$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the properties of radicals to simplify the given expression, $
\sqrt{(c+7)^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{(c+7)^2}
\\\\=
|c+7|
.\end{array}