Answer
$\frac{\sqrt {2x}}{2x}$
Work Step by Step
The given expression is
$=\frac{1}{\sqrt{2x}}$
Multiply by $\frac{\sqrt {2x}}{\sqrt {2x}}$.
$=\frac{1}{\sqrt{2x}}\cdot \frac{\sqrt {2x}}{\sqrt {2x}}$
Use product property of square roots.
$=\frac{\sqrt {2x}}{\sqrt {2x\cdot 2x}}$
Simplify.
$=\frac{\sqrt {2x}}{\sqrt {2^2x^2}}$
$=\frac{\sqrt {2x}}{2x}$
