SOLUTION: Simplify each expression. Rationalize all denominators. Assume that all variables are positive http://i732.photobucket.com/albums/ww330/school_hard/IMG_48321.jpg

Algebra ->  Rational-functions -> SOLUTION: Simplify each expression. Rationalize all denominators. Assume that all variables are positive http://i732.photobucket.com/albums/ww330/school_hard/IMG_48321.jpg      Log On


   

Question 182553: Simplify each expression. Rationalize all denominators. Assume that all variables are positive
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48321.jpg
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2Bsqrt%285%29%29%2A%282-sqrt%285%29%29
This is a product of a sum and difference, like (a-b)*(a+b)
(a-b)*(a+b) = a%5E2+-+b%5E2%29
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%282%2Bsqrt%285%29%29%2A%282-sqrt%285%29%29
= 2%5E2+-+%28sqrt%285%29%29%5E2
= 4 - 5
= -1