SOLUTION: Simplify (cuberoot (sqrt ( 245 ) - sqrt ( 20 ) ) )^(-2)

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Question 1104237: Simplify (cuberoot (sqrt ( 245 ) - sqrt ( 20 ) ) )^(-2)
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Simplify (cuberoot (sqrt ( 245 ) - sqrt ( 20 ) ) )^(-2)
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(cbrt(7sqrt(5)-2sqrt(5))^(-2)
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= cbrt(5sqrt(5))^-2
= cbrt (5^(3/2))^-2
= (5^(1/2)^(-2)
= 5^-1
= 1/5
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Cheers,
Stan H.
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