Answer
The answer is $106+6\sqrt77$.
Work Step by Step
We can simplify the expression as follows:
$=(3\sqrt11+\sqrt7)^{2}$
$=(3\sqrt11+\sqrt7)*(3\sqrt11+\sqrt7)$
$=(3\sqrt11)^{2}+(\sqrt7)^{2}+2*3\sqrt11*\sqrt7$
(Since $(a+b)^{2}=a^{2}+b^{2}+2ab)$
$=(3\sqrt11)*(3\sqrt11)+(\sqrt7)*(\sqrt7)+2*3\sqrt11*\sqrt7$
$=(9*11)+7+6\sqrt77$
$=99+7+6\sqrt77$
$=106+6\sqrt77$.
