Answer:
option a
step-by-step explanation:
To rationalize the expresion we need to multiply and divide the expression by the conjugate of the denominator as follows
sqrt(9) / (sqrt(3) + sqrt(x)) = sqrt(9) ((sqrt(3) - sqrt(x)) / ((sqrt(3) + sqrt(x))(sqrt(3) - sqrt(x)))
3((sqrt(3) - sqrt(x)) / (3 - x)
So the result es option a:
(3sqrt(3) - 3sqrt(x)) / (3 - x)