Question: Root in the Denominator

Comment on Root in the Denominator

I solved this in a slightly different way,and just wanted to check if you could tell me which one would work faster in multiple scenarios.
So instead of trying to get the same denominator as 1 by using two conjugates, I multiplied both the denominators with each other to get a common multiple in the denominator, and then in the numerators, I multiplied the first fraction's numerator by the second denominator, and similarly for the other one.

Do let me know.
Thanks
gmat-admin's picture

That works too.

Your method works because the each of the two denominators just happens to be the conjugate of the other.

Hey!
Thanks for the response.
Just a follow up question. Will my method not work, in case they are not conjugates?
gmat-admin's picture

Yes, yours is still a valid approach, but you may have to perform a little extra work (not much though).

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