SOLUTION: Express in simplest form with rationalized denominators: sqrt 7 - sqrt 5 / sqrt 5 + 3 sqrt 7

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Question 152697: Express in simplest form with rationalized denominators: sqrt 7 - sqrt 5 / sqrt 5 + 3 sqrt 7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%287%29+-+sqrt%285%29%29+%2F+%28sqrt%285%29+%2B+3%2Asqrt%287%29%29 Start with the given expression.



Multiply both numerator and denominator by sqrt%285%29+-+3%2Asqrt%287%29


Combine the fractions



FOIL



Combine and multiply the roots.



%28-26%2B4%2Asqrt%2835%29%29+%2F+%28-58%29 Combine like terms


%2813-2%2Asqrt%2835%29%29+%2F+%2829%29 Reduce


So