SOLUTION: i dont undersatnd these type of questions rationalize 1/^6-^5 , please right the answers in step by step. thankyou

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Question 152151: i dont undersatnd these type of questions rationalize 1/^6-^5 , please right the answers in step by step. thankyou
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
i dont understand these type of questions rationalize
1%2F%28sqrt%286%29-sqrt%285%29%29, please write the answers in
step by step. Thank you

1%2F%28sqrt%286%29-sqrt%285%29%29

Form conjugate of the denominator by changing 
the sign of the second term, that is, the conjugate 
is %28sqrt%286%29%2Bsqrt%285%29%29

Multiply top and bottom by this conjugate:



Distribute out the top and FOIL out the bottom:





%28sqrt%286%29%2Bsqrt%285%29%29%2F%28sqrt%2836%29-sqrt%2825%29%29

%28sqrt%286%29%2Bsqrt%285%29%29%2F%286-5%29

%28sqrt%286%29%2Bsqrt%285%29%29%2F1

sqrt%286%29%2Bsqrt%285%29

Edwin