Answer
TRUE
Work Step by Step
Using the properties of equality to isolate the radical expression in the given, $
\sqrt{x}-8=7
,$ results to
\begin{array}{l}\require{cancel}
\sqrt{x}-8=7
\\\\
\sqrt{x}=7+8
\\\\
\sqrt{x}=15
.\end{array}
Hence the given statement is $\text{
TRUE
.}$