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

1 Answer
Jul 15, 2017

Answer:

See a solution process below:

Explanation:

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

#2/(2sqrt(2)) => color(red)(cancel(color(black)(2)))/(color(red)(cancel(color(black)(2)))sqrt(2)) => 1/sqrt(2)#

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

#1/sqrt(2) xx sqrt(2)/sqrt(2) => sqrt(2)/2#