Question

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

Answer 1

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`