SOLUTION: I'm having problems figuring this problem out. Can someone help me on this one? The problem is rationalize the denominator: 5 over the square root symbol [3]+ square root symbol

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Question 152329This question is from textbook Intermediate Algebra
: I'm having problems figuring this problem out. Can someone help me on this one?
The problem is rationalize the denominator:
5 over the square root symbol [3]+ square root symbol [5].
Thanks for your help.This question is from textbook Intermediate Algebra

Answer by ankor@dixie-net.com(12692) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is rationalize the denominator:
5 over the square root symbol [3]+ square root symbol [5].
:
5%2F%28sqrt%283%29+%2B+sqrt%285%29%29
:
multiply the equation by the conjugate of the denominator;
Note when you FOIL the denominators, the middle terms which contain radicals, will cancel
5%2F%28sqrt%283%29+%2B+sqrt%285%29%29 * %28sqrt%283%29+-+sqrt%285%29%29%2F%28sqrt%283%29+-+sqrt%285%29%29 = %285%28sqrt%283%29+-+sqrt%285%29%29%29%2F%283+-+5%29 = %285%28sqrt%283%29+-+sqrt%285%29%29%29%2F%28-2%29 = -%285%28sqrt%283%29+-+sqrt%285%29%29%29%2F2