Answer
$13.4$
Work Step by Step
Using the properties of radicals, a rational approximation (to the nearest tenth) of the given expression, $
9\sqrt{5}-3\sqrt{5}
,$ is
\begin{array}{l}\require{cancel}
(9-3)\sqrt{5}
\\\\=
6\sqrt{5}
\\\\
\approx
13.4
.\end{array}