SOLUTION: Rationalize the following quotient: (sqrt(13)-6)/(sqrt(13)+6) = A + B*sqrt(C) where A=? , B=? , and C=? (A and B are rational numbers, C is an integer, and the square root

Question 1106845: Rationalize the following quotient:
(sqrt(13)-6)/(sqrt(13)+6) = A + B*sqrt(C)
where A=? , B=? , and C=?
(A and B are rational numbers, C is an integer, and the square root has been simplified)
Thank you!
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
multiply numerator and denominator by conjugate of denominator, sqrt(13)-6
the numerator becomes [sqrt(13)-6]^2, and the denominator becomes 13-36
the numerator may be expanded to become 13+36-12 sqrt(13)
the whole fraction is -(49/23)-12(sqrt(13)
A is -(49/23), B is -12 and C is 13
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