SOLUTION: Rationalize the denominator: Rationalize the denominator: ____5____ √[3] + √[5]

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Question 149243: Rationalize the denominator:
Rationalize the denominator:
____5____
√[3] + √[5]
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%28sqrt%283%29%2Bsqrt%285%29%29
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To "rationalize" means to get rid of those square root signs in the denominator.
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Start by multiplying numerator and denominator by:
%28sqrt%283%29-sqrt%285%29%29%2F%28sqrt%283%29-sqrt%285%29%29
.
So we have:
5%2F%28sqrt%283%29%2Bsqrt%285%29%29* %28sqrt%283%29-sqrt%285%29%29%2F%28sqrt%283%29-sqrt%285%29%29
.
For the numerator we have: 5%28sqrt%283%29-sqrt%285%29%29
For the denominator we have: 3-5 = 2
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Or
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%285%28sqrt%283%29-sqrt%285%29%29%29%2F2
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Or
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%285sqrt%283%29-5sqrt%285%29%29%2F2