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Haven't done this type of math in a long time, here's the question:

1. Rationalize the numerator

a) (√x - 3) / (x - 9)

Can't get the answer for the life of me. The textbook says (1)/(√x - 3)

the / dictates division.

2. Relevant equations

Question: (√x - 3) / (x - 9)

Answer: (1)/(√x - 3)

3. The attempt at a solution

I multiplied the top and bottom by the conjugate of the numerator (√x + 3)

and ended up getting (x-9)/(x√x + 3x - 9√x - 27)

and I get stumped here.

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# Homework Help: Rationalizing a numerator

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