SOLUTION: Rationalize the denominator and simplify x^2-1/1-sqrt(x), where x is greater than 0

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Rationalize the denominator and simplify x^2-1/1-sqrt(x), where x is greater than 0      Log On


   

Question 434807: Rationalize the denominator and simplify
x^2-1/1-sqrt(x), where x is greater than 0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator and simplify
x^2-1/1-sqrt(x), where x is greater than 0
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(x^2-1)/(1-sqrt(x))
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Factor:
[(x-1)(x+1)]/[1-sqrt(x)]
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Factor:
[(sqrt(x)-1)(sqrt(x)+1)(x+1)]/[-(sqrt(x)-1)]
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Cancel and notice the change in sign:
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= -[sqrt(x)+1)(x+1)]
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Cheers,
Stan H.
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