Answer
$\approx -5.6$
Work Step by Step
Using $\sqrt{2}=1.41$ and the properties of radicals, the given expression, $
-\sqrt{32}
,$ evaluated to the nearest tenth, is equal to:
\begin{array}{l}\require{cancel}
-\sqrt{16\cdot2}
\\\\=
-\sqrt{(4)^2\cdot2}
\\\\=
-4\sqrt{2}
\\\\=
-4(1.41)
\\\\
\approx -5.6
.\end{array}
