# How do you rationalize the denominator and simplify 1/sqrt2?

Jun 11, 2018

$\frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}$
Multiply the fraction by another form of the whole number $1$: $\frac{\sqrt{2}}{\sqrt{2}}$
$\frac{1}{\sqrt{2}} \cdot \textcolor{b l u e}{\frac{\sqrt{2}}{\sqrt{2}}}$
$= \frac{\sqrt{2}}{2}$