How do you simplify: x/square root of 2?

1 Answer
Jul 24, 2015

You rationalize the denominator.

Explanation:

Your expression looks like this

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

The only option available to you when it comes to simplify this expression is to rationalize the denominator.

You can do this by multiplying the numerator and the denominator by $\sqrt{2}$ to get

$\frac{x \cdot \sqrt{2}}{\underbrace{\left(\sqrt{2} \cdot \sqrt{2}\right)}} _ \left(\textcolor{b l u e}{\text{=2}}\right) = \frac{x \cdot \sqrt{2}}{\textcolor{b l u e}{2}}$

Thus, the simplified form of your initial expression is

$\frac{x}{\sqrt{2}} = \textcolor{g r e e n}{\frac{x \cdot \sqrt{2}}{2}}$