SOLUTION: Simplify by rationalizing the denominator: √6-√3 _____ √6+√3

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Question 43117This question is from textbook INTERMEDIATE ALGEBRA
: Simplify by rationalizing the denominator: √6-√3
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√6+√3 This question is from textbook INTERMEDIATE ALGEBRA

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We have to multiply top and bottom by √6 - √3 and we get
(√6 - √3) / (√6 + √3) =
(√6 - √3)(√6 - √3) / (√6 - √3)(√6 + √3) =
(√36 - √18 - √18 + √9) / 6 - 3 =
(9 - 2√18) / 3 =
(9 - 6√2) / 3 =
3 - 2√2