Question

How do you rationalize the denominator and simplify `(2sqrt 2-2sqrt 3 )/sqrt3`?

Answer 1

Multiply both top and bottom of the fraction by `sqrt(3)` to remove the irrational denominator.

Explanation:

`(2sqrt(2)-2sqrt(3))/sqrt(3)*sqrt(3)/sqrt(3)=(2sqrt(2)sqrt(3)-2(3))/3=(2sqrt(5)-6)/3`