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Mathematics 12 Online
OpenStudy (amy0799):

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OpenStudy (studygurl14):

First step. Move the sqrt in the denominator to the numerator, and convert the square roots to exponents

OpenStudy (studygurl14):

Tell me what you get.

OpenStudy (amy0799):

\[(x ^{1/2}-1)^2x ^{-1/2}\]

OpenStudy (studygurl14):

yep. okay, now combine and simplify it as much as you can. tell me what you get

OpenStudy (amy0799):

\[(x-2x ^{1/2}+1)x ^{-1/2}\]

OpenStudy (studygurl14):

Yep, but distribut ethe x^-1/2 too

OpenStudy (amy0799):

\[x ^{1/2}-2+x ^{-1/2}\]

OpenStudy (studygurl14):

Excellent. Now find the anti-derivative of that.

OpenStudy (studygurl14):

That'll be your final answer.

OpenStudy (amy0799):

\[2x ^{3/2}/3-2x+\sqrt{x}\]

OpenStudy (studygurl14):

not quite. The last term isn't correct. make sure to divide by 1/2

OpenStudy (studygurl14):

But I think you have it mostly. Good job. :) I have to go now. Good luck

OpenStudy (amy0799):

thanks for the help!

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