SOLUTION: Rationalize the denominator and simplify: 3sqrt(2)-2sqrt(3)/3sqrt(2)+2sqrt(3)

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Question 454196: Rationalize the denominator and simplify:
3sqrt(2)-2sqrt(3)/3sqrt(2)+2sqrt(3)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator and simplify:
3sqrt(2)-2sqrt(3)/3sqrt(2)+2sqrt(3)
..
(3√2-2√3)/(3√2+2√3)
multiply top and bottom by conjugate of denominator
(3√2-2√3)(3√2-2√3)/(3√2-2√3)(3√2+2√3)
18-4√3+12/18-12 (difference of squares)
30-4√3/6
(15-2√3)/3 (ans)