Question

How do you rationalize the denominator `(4sqrt3+2)/(2sqrt3+1)`?

Answer 1

By rationalizing the denominator.

`(2(2sqrt3 + 1))/(2sqrt3 + 1).(2sqrt3 - 1)/(2sqrt3 - 1)` =

`= (2(12 - 1))/(12 - 1) =`2

By simplification:

`(2(2sqrt3 + 1))/(2sqrt3 + 1) = 2`