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)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.



Multiply both numerator and denominator by


Combine the fractions



FOIL



Combine and multiply the roots.



Combine like terms


Reduce


So
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