Answer
$x+2\sqrt{x}+1$
Work Step by Step
Using the properties of radicals, the given expression, $
(\sqrt{x}+1)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
(\sqrt[]{x})^2+2(\sqrt{x})(1)+(1)^2
\\\\=
x+2\sqrt{x}+1
.\end{array}
Note that all variables are assumed to have positive real numbers.