Questions on Algebra: Operations with Signed Numbers answered by real tutors!

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Question 81858: Rationalize
10 divided by the sqrt. of 21 + sqrt of 11: Rationalize
10 divided by the sqrt. of 21 + sqrt of 11
Answer by HyperBrain(507) About Me  (Show Source):
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10/(sqrt(21)+sqrt(11))=(10/(sqrt(21)+sqrt(11)))((sqrt(21)-sqrt(11))/(sqrt(21)-sqrt(11)))=(10(sqrt(21)-sqrt(11)))/((sqrt(21))^2-(sqrt(11))^2)=(10(sqrt(21)-sqrt(11)))/(21-11)=(10(sqrt(21)-sqrt(11)))/10=sqrt(21)-sqrt(11)

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