# How do you rationalize the denominator and simplify 2/(2sqrt2)?

Jul 15, 2017

See a solution process below:

#### Explanation:

First, simplify the expression by cancelling common terms in the numerator and denominator:

$\frac{2}{2 \sqrt{2}} \implies \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \sqrt{2}} \implies \frac{1}{\sqrt{2}}$

To rationalize the denominator (or remove the radical from the denominator), multiply the expression by the appropriate form of $1$

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