SOLUTION: 3 radical 2 divided by 2-5 radical 2; Simplify by rationalizing the denominator.

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Question 109034: 3 radical 2 divided by 2-5 radical 2; Simplify by rationalizing the denominator.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3 radical 2 divided by 2-5 radical 2; Simplify by rationalizing the denominator.
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3sqrt2 / [2-5sqrt2]
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Multiply numerator and denominator by [2+5sqrt2]:
[2sqrt(2)[2+5sqrt2] / [2-5sqrt2][2+5sqrt2]
= [4sqrt(2)+20] / [-46]
= [-4/46][sqrt(2)+5]
= [-2/23][sqrt(2)+5]
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Cheers,
Stan H.