Answer
$\dfrac{\sqrt{2x}}{2}$
Work Step by Step
We multiply the numerator and the denominator by $\sqrt2$ to remove the radical from the denominator:
$=\dfrac{\sqrt{x}\cdot\sqrt{2}}{\sqrt{2}\cdot\sqrt{2}}$
$=\dfrac{\sqrt{2x}}{\sqrt{2^2}}$
$=\dfrac{\sqrt{2x}}{2}$