Question 370508
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
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= -[3 + 2sqrt(2) + 2sqrt(3) + sqrt(6)]
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Cheers,
Stan H.