SOLUTION: rationalize (sqrt)(7)/(5)(sqrt)(7)+(3)

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Question 730692: rationalize (sqrt)(7)/(5)(sqrt)(7)+(3)
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
rationalize (sqrt)(7)/[(5)(sqrt)(7)+(3)]
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Multiply numerator and denominator by (5sqrt(7)-3) to get:
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[sqrt(7)(5sqrt(7)-3)]/[25*7-9]
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[5*7-3sqrt(7)]/169
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= [35-3sqrt(7)]/169
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Cheers,
Stan H.
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