SOLUTION: 2+ radical 3 / radical 3 + radical 5

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Question 116791: 2+ radical 3 / radical 3 + radical 5
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

%282%2Bsqrt%283%29%29%2F%28sqrt%283%29%2Bsqrt%285%29%29 Start with the given expression


%28%282%2Bsqrt%283%29%29%2F%28sqrt%283%29%2Bsqrt%285%29%29%29%28%28sqrt%283%29-sqrt%285%29%29%2F%28sqrt%283%29-sqrt%285%29%29%29 Multiply by the fraction by %28sqrt%283%29-sqrt%285%29%29%2F%28sqrt%283%29-sqrt%285%29%29. Note sqrt%283%29-sqrt%285%29 is the conjugate of sqrt%283%29%2Bsqrt%285%29.


%28%282%2Bsqrt%283%29%29%28sqrt%283%29-sqrt%285%29%29%29%2F%28%28sqrt%283%29%2Bsqrt%285%29%29%28sqrt%283%29-sqrt%285%29%29%29 Combine the fractions


%28%282%2Bsqrt%283%29%29%28sqrt%283%29-sqrt%285%29%29%29%2F%28sqrt%283%29%2Asqrt%283%29%2Bsqrt%283%29%2Asqrt%285%29-sqrt%285%29%2Asqrt%283%29%2Bsqrt%285%29%2Asqrt%285%29%29 Foil the denominator


%28%282%2Bsqrt%283%29%29%28sqrt%283%29-sqrt%285%29%29%29%2F%28sqrt%283%29%2Asqrt%283%29%2Bsqrt%285%29%2Asqrt%285%29%29 Cancel like terms


%28%282%2Bsqrt%283%29%29%28sqrt%283%29-sqrt%285%29%29%29%2F%283-5%29 Multiply


%28%282%2Bsqrt%283%29%29%28sqrt%283%29-sqrt%285%29%29%29%2F%28-2%29 Combine like terms



%28%282%29%28sqrt%283%29%29%2B%282%29%28-sqrt%285%29%29%2B%28sqrt%283%29%29%28sqrt%283%29%29%2B%28sqrt%283%29%29%28-sqrt%285%29%29%29%2F%28-2%29 Foil the numerator



%282sqrt%283%29-2sqrt%285%29%2B3-sqrt%283%29sqrt%285%29%29%2F%28-2%29 Multiply