Question #7ba0c

1 Answer
Vinícius Ferraz
Jul 9, 2017

#- frac{(sqrt 2 + sqrt 3 + sqrt 58)(53 + 2 sqrt 6)}{2785}#

Explanation:

#frac{1}{sqrt 2 + sqrt 3 - sqrt 58} * frac{sqrt 2 + sqrt 3 + sqrt 58}{sqrt 2 + sqrt 3 + sqrt 58}#

#= frac{sqrt 2 + sqrt 3 + sqrt 58}{2 + 2sqrt 6 + 3 - 58} * frac{-53 - 2 sqrt 6}{-53 - 2 sqrt 6}#

#= - frac{(sqrt 2 + sqrt 3 + sqrt 58)(53 + 2 sqrt 6)}{53^2 - 4*6}#

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