SOLUTION: Simplified radical form and rationalize all denominator (3√(7))/(-1-√(27))

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Question 427605: Simplified radical form and rationalize all denominator
(3√(7))/(-1-√(27))
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplified radical form and rationalize all denominator
(3√(7))/(-1-√(27))
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Multiply numerator and denominator by (-1+sqrt(27)) to get:
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= [3sqrt(7)*(-1+sqrt(27))] / [(-1-sqrt(27))(-1+sqrt(27))]
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= [-3sqrt(7)+3sqrt(7*27)]/[1-27]
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= [-3sqrt(7)+3*3sqrt(21)]/(-26)
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= [3/26][sqrt(7)-(3/26)sqrt(21)]
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Cheers,
Stan H.
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