SOLUTION: {{{1/(1-x)+1/(1+sqrt(x))+1/(1-sqrt(x))}}} Please help me find the solutions !!! Thank you !!

Algebra ->  Radicals -> SOLUTION: {{{1/(1-x)+1/(1+sqrt(x))+1/(1-sqrt(x))}}} Please help me find the solutions !!! Thank you !!      Log On


   

Question 438763: 1%2F%281-x%29%2B1%2F%281%2Bsqrt%28x%29%29%2B1%2F%281-sqrt%28x%29%29
Please help me find the solutions !!! Thank you !!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1/(1-x)+1/(1+sqrt(x))+1/(1-sqrt(x))
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lcd = 1-x = (1-sqrt(x))(1+sqrt(x))
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Rewrite each fraction with the lcd as its denominator:
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= 1/lcd + (1-sqrt(x))/lcd + (1+sqrt(x))/lcd
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Combine the numerators over the lcd:
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= (1 +1 + 1)/lcd
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= 3/(1-x)
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Cheers,
Stan H.