Question

How do you rationalize the denominator and simplify `3/sqrt2`?

Answer 1

`(3*sqrt2)/2`

Explanation:

To rationalise the denominator, you must multiply the whole fraction (top and bottom) by the denominator. The goal is to eliminate roots in the denominator.

so,

`3/sqrt2= (3*sqrt2)/(sqrt2*sqrt2)`

simplifying,

`(3*sqrt2)/2`

Reminder,

`sqrt2*sqrt2 = (sqrt2)^2 = 2`