Answer
$28.3$
Work Step by Step
Using the properties of radicals, a rational approximation (to the nearest tenth) of the given expression, $
6\sqrt{2}+14\sqrt{2}
,$ is
\begin{array}{l}\require{cancel}
(6+14)\sqrt{2}
\\\\=
20\sqrt{2}
\\\\
\approx
28.3
.\end{array}