X with a fraction as an exponent  TOPIC_SOLVED

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

X with a fraction as an exponent

Postby drummergirl95 on Wed Apr 20, 2011 9:27 pm

This is my problem:
Simplify: 1/(X^1/2 + Y^1/2)
I know this should be easy, and I know that the X should go in a radical as well as the Y, but I don't fully understand the "simplify" part.... help?? :confused: :wave:
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Re: X with a fraction as an exponent  TOPIC_SOLVED

Postby Martingale on Wed Apr 20, 2011 10:54 pm

drummergirl95 wrote:This is my problem:
Simplify: 1/(X^1/2 + Y^1/2)
I know this should be easy, and I know that the X should go in a radical as well as the Y, but I don't fully understand the "simplify" part.... help?? :confused: :wave:


if you have

then I don't think you can simplify it any further than it is already.
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Postby stapel_eliz on Thu Apr 21, 2011 10:50 am

drummergirl95 wrote:Simplify: 1/(X^1/2 + Y^1/2)

Are you maybe supposed to "rationalize" the denominator? If so, then multiply by the conjugate of the denominator:

. . . . .

The radical terms will cancel out in the denominator. :wink:
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