SOLUTION: perform & simplify: 3√2-2√3 _______ 3√2+2√3

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Question 149708: perform & simplify:
3√2-2√3
_______
3√2+2√3
Answer by nerdybill(5404) About Me  (Show Source):
You can put this solution on YOUR website!
The idea is to remove the radical signs from the denominator.
.
(3√2-2√3)/(3√2+2√3)
.
(3√2-2√3)/(3√2+2√3) * (3√2-2√3)/(3√2-2√3)
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[(3√2-2√3)(3√2-2√3)]/[(3√2+2√3)(3√2-2√3)]
.
[(3√2)(3√2)-(2√3)(3√2)-(3√2)(2√3)-(2√3)(2√3)]/[(3√2)(3√2)-(2√3)(2√3)]
.
[(36)-(6√6)-(6√6)-(12)]/[(36)-(12)]
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[(24)-(12√6)]/[(24)]
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[(2)-(√6)]/[(2)]
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[2-√6]/2