Question

How do you rationalize the denominator and simplify `(2sqrt7 - 4sqrt2)/( 2sqrt3)`?

Answer 1

`(sqrt(21)-2*sqrt(6))/3`

Explanation:

`(2sqrt(7)-4sqrt(2))/(2*sqrt(3)) =(2sqrt(7)-4sqrt(2))/(2*sqrt(3)) *sqrt(3)/sqrt(3) =2(sqrt(7*3)-2sqrt(2*3))/(2*3)`