Answer
$6\sqrt{6}$
Work Step by Step
Adding the coefficients and then copying the common radical expression, the given expression, $
5\sqrt{6}+\sqrt{6}
,$ is equivalent to
\begin{align*}
&
(5+1)\sqrt{6}
\\&=
6\sqrt{6}
.\end{align*}
Hence, the given expression simplifies to $
6\sqrt{6}
$.