SOLUTION: Please help me rationalize denominator and numerator {{{ (sqrt(3)+sqrt(4))/(sqrt(2)-sqrt(3)) }}} I have been working on several of these and I have noticed that some of them

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Question 370508: Please help me rationalize denominator and numerator
+%28sqrt%283%29%2Bsqrt%284%29%29%2F%28sqrt%282%29-sqrt%283%29%29+
I have been working on several of these and I have noticed that some of them are distributed while some are just left in the form of +%28x%28sqrt%28y%29-sqrt%28z%29%29%29%2F%28y-z%29+. How do I know what to distribute on what problems?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
rationalize denominator and numerator
(sqrt(3)+sqrt(4))/(sqrt(2)-sqrt(3))
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Multiply numerator and denominator by sqrt(2)+sqrt(3) to get:
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= [(sqrt(3)+sqrt(4))(sqrt(2)+sqrt(3))]/[2-3]
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= [sqrt(6) +3 + sqrt(8)+sqrt(12)]/-1
----
= -[3 + 2sqrt(2) + 2sqrt(3) + sqrt(6)]
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Cheers,
Stan H.