# What is the reciprocal of square root of 2?

Mar 12, 2018

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

#### Explanation:

The reciprocal of a number is 1 divided by the number.

Hence, the reciprocal of $\sqrt{2}$ is

$\frac{1}{\sqrt{2}}$

$= \frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$

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