SOLUTION: Rationalize the denominator: 2^(1/2) - 5^(1/2)/2^(1/2) + 5^(1/2) please show work thanks

Algebra ->  Square-cubic-other-roots -> SOLUTION: Rationalize the denominator: 2^(1/2) - 5^(1/2)/2^(1/2) + 5^(1/2) please show work thanks      Log On


   

Question 248797: Rationalize the denominator:
2^(1/2) - 5^(1/2)/2^(1/2) + 5^(1/2)
please show work thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator:
2^(1/2) - 5^(1/2)/2^(1/2) + 5^(1/2)
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Multiply numerator and denominator by sqrt(2)-sqrt(5) to get:
[(sqrt(2)-sqrt(5)]^2 / [2-5]
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[2+5 - 2sqrt(10)]/-3
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= [7-2sqrt(10)]/[-3]
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Cheers,
Stan H.