Question

How do you rationalize `3/(sqrt3 - 1)`?

Answer 1

Multiply the numerator and denominator by the reciprocal of the denominator

`3/(sqrt(3)-1)`

`=3/(sqrt(3)-1) xx (sqrt(3)+1)/(sqrt(3)+1)`

`=(3(sqrt(3)+1))/(3-1)`

`= 3/2 (sqrt(3)+1)`