Question

Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify.

Answer 1

A.
Multiply top and bottom by (3-√(2x)), then divide top and bottom by 3

Answer 2

`(3)/(3- √(6x) ) = (3)/(3- √(6x) ) * (3+ √(6x) )/(3+ √(6x) ) \\ = (3(3+ √(6x)))/(3^2-( √(6x) )^2) = (3(3+ √(6x)))/(9-6x) \\ =(3(3+ √(6x)))/(3(3-2x))=(3+ √(6x))/(3-2x)`