SOLUTION: If {{{a = (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))}}} and {{{b = (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))}}}, find the value of {{{a^2+b^2-5ab}}}.

Algebra ->  Radicals -> SOLUTION: If {{{a = (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))}}} and {{{b = (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))}}}, find the value of {{{a^2+b^2-5ab}}}.      Log On


   



Question 1116707: If a+=+%28sqrt%283%29-sqrt%282%29%29%2F%28sqrt%283%29%2Bsqrt%282%29%29 and
b+=+%28sqrt%283%29%2Bsqrt%282%29%29%2F%28sqrt%283%29-sqrt%282%29%29,
find the value of a%5E2%2Bb%5E2-5ab.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
If a+=+%28sqrt%283%29-sqrt%282%29%29%2F%28sqrt%283%29%2Bsqrt%282%29%29 and
b+=+%28sqrt%283%29%2Bsqrt%282%29%29%2F%28sqrt%283%29-sqrt%282%29%29
find the value of aČ+bČ-5ab
We rationalize the denominator of a



We rationalize the denominator of b



We want to find a%5E2%2Bb%5E2-5ab





Edwin