Question 477533
simplify and reduce to lowest terms
1 divided by square root T-5 plus 3 divided square root T+5
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[1/sqrt(T-5)] + [3/sqrt(T+5)]
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[sqrt(T+5) + 3sqrt(T-5)]/[sqrt(T^2-25)]
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square root3 divided by (square root3 + square root2)
sqrt(3)/[sqrt(3) + sqrt(2)]
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Multiply numerator and denominator by [sqrt(3)-sqrt(2)] to get:
[sqrt(3)[sqrt(3)-sqrt(2)]/[3-2]
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= [3 - sqrt(6)]
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Cheers,
Stan H.