SOLUTION: Rationalize each denominator {{{3sqrt( 2 )-sqrt(7)}}} ___________ {{{4sqrt( 2 )+2sqrt(5)}}}

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Question 742042: Rationalize each denominator
3sqrt%28+2+%29-sqrt%287%29
___________
4sqrt%28+2+%29%2B2sqrt%285%29
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
{3sqrt( 2 )-sqrt(7)} / {4sqrt( 2 )+2sqrt(5)}
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Multiply numerator and denominator by (4sqrt(2)-2sqrt(5)) to get:
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(3sqrt(2)-sqrt(7))(4sqrt(2)-2sqrt(5)) / (16*2-4*5)
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= (12*2 - 6sqrt(10) - 4sqrt(14) +2sqrt(35)) /12
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Cheers,
Stan H.
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