Answer
$3x+4\sqrt[]{3x+1}+5$
Work Step by Step
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, then,
\begin{array}{l}
\left( \sqrt[]{3x+1}+2 \right)^2
\\=
(\sqrt[]{3x+1})^2+2(\sqrt[]{3x+1})(2)+(2)^2
\\=
3x+1+4\sqrt[]{3x+1}+4
\\=
3x+4\sqrt[]{3x+1}+5
.\end{array}