SOLUTION: simplify [(sq rt 5) - (sq rt 3)] / [3(sq rt 5) + 4(sq rt 3)]

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Question 108255: simplify
[(sq rt 5) - (sq rt 3)] / [3(sq rt 5) + 4(sq rt 3)]
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify
[(sqrt 5) - (sqrt 3)] / [3(sqrt 5) + 4(sqrt 3)]
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Multiply numerator and denominator by [3sqrt5 - 4sqrt3]
to get:
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[(sqrt 5) - (sqrt 3)][3sqrt5 - 4sqrt3] / [3(sqrt 5) + 4(sqrt 3)][3sqrt5 - 4sqrt3]
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[3*5+4*3-7sqrt(15)] / [9*5-16*3]
= [27 - 7sqrt(15)]/1
= [27 - 7sqrt(15)]
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Cheers,
Stan H.