Answer
$\approx 2.1$
Work Step by Step
Using $\sqrt{2}=1.41$ and the properties of radicals, the given expression, $
\dfrac{3}{\sqrt{2}}
,$ evaluated to the nearest tenth, is equal to:
\begin{array}{l}\require{cancel}
\dfrac{3}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}
\\\\=
\dfrac{3\sqrt{2}}{(\sqrt{2})^2}
\\\\=
\dfrac{3\sqrt{2}}{2}
\\\\=
\dfrac{3(1.41)}{2}
\\\\
\approx 2.1
.\end{array}
