SOLUTION: Simplpfly square root of 2/ ( square root of 2 + square root of 5)

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Question 72238This question is from textbook Elementary Algebra
: Simplpfly
square root of 2/ ( square root of 2 + square root of 5)
 This question is from textbook Elementary Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282%29%2F%28sqrt%282%29%2Bsqrt%285%29%29
Multiply top and bottom by the conjugate of %28sqrt%282%29%2Bsqrt%285%29%29 which is %28sqrt%282%29-sqrt%285%29%29
FOIL the denominator

Terms cancel
%28sqrt%282%29%2A%28sqrt%282%29-sqrt%285%29%29%29%2F%282-5%29Distribute the numerator and simplify the denominator
%282-sqrt%282%29%2Asqrt%285%29%29%2F%28-3%29Which can be further written as
-2%2F3%2B%28sqrt%282%29%2Asqrt%285%29%29%2F%283%29