Answer
$\frac{7\sqrt{2x}}{2x}$.
Work Step by Step
The given expression is
$=\frac{7}{\sqrt{2x}}$
Multiply by $\frac{\sqrt{2x}}{\sqrt{2x}}$.
$=\frac{7}{\sqrt{2x}}\cdot \frac{\sqrt{2x}}{\sqrt{2x}}$
Use product property of square roots.
$=\frac{7\sqrt{2x}}{\sqrt{2x\cdot 2x}}$
$=\frac{7\sqrt{2x}}{\sqrt{(2x)^2}}$
Simplify.
$=\frac{7\sqrt{2x}}{2x}$.
