# How do you simplify by rationalizing the denominator sqrt(5 / 2x)?

Apr 10, 2015

The answer is $\frac{\sqrt{10}}{2} x$.

$\left(\frac{\sqrt{5}}{\sqrt{2}}\right) x$

Simplify.

$\frac{\sqrt{5}}{\sqrt{2}} x$

Rationalize the denominator by multiplying by $\frac{\sqrt{2}}{\sqrt{2}}$

$\frac{\sqrt{5}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$ =

$\frac{\sqrt{5} \cdot \sqrt{2}}{2} x$

Simplify.

$\frac{\sqrt{10}}{2} x$