Answer
$29\sqrt{3}$
Work Step by Step
Using the properties of radicals, the given expression, $
6\sqrt{48}+5\sqrt{3}
,$ simplifies to
\begin{array}{l}\require{cancel}
6\sqrt{16\cdot3}+5\sqrt{3}
\\\\=
6\sqrt{(4)^2\cdot3}+5\sqrt{3}
\\\\=
6\cdot4\sqrt{3}+5\sqrt{3}
\\\\=
24\sqrt{3}+5\sqrt{3}
\\\\=
29\sqrt{3}
.\end{array}
