Answer
$\dfrac{5\sqrt{x}}{2}$
Work Step by Step
Using the properties of radicals, the expression $
\dfrac{\sqrt{50x}}{2\sqrt{2}}
$ simplifies to
\begin{array}{l}
\dfrac{1}{2}\sqrt{\dfrac{50x}{2}}
\\\\=
\dfrac{1}{2}\sqrt{25x}
\\\\=
\dfrac{1}{2}\cdot5\sqrt{x}
\\\\=
\dfrac{5\sqrt{x}}{2}
.\end{array}
