Question

How do you divide and rationalize the denominator for `(x-1)/(sqrt(3x)+sqrt5)`?

Answer 1

Multiply the numerator and denominator by the conjugate of the denominator

`(x-1)/(sqrt(3x)+sqrt(5)) * (sqrt(3x) - sqrt(5))/(sqrt(3x)-sqrt(5))`

`= ((x-1)(sqrt(3x)-sqrt(5)))/(3x -5)`