Answer
$\approx3.7$
Work Step by Step
Using the properties of radicals, a rational approximation (to the nearest tenth) of the given expression, $
3\sqrt{2}+\sqrt{3}-\sqrt{5}
,$ is
\begin{array}{l}\require{cancel}
\approx
4.2+1.7-2.2
\\\\
\approx3.7
.\end{array}