Question 255842
Comment:
I do not know why you put a "carat" in front of the 3
so I will ignore it

1. ^3square root(216y^3)
Separate the radicand into a perfect square and another factor:
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= 3sqrt(36y^2*6y)
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= 3sqrt(36y^2)*sqrt(6y)
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= 3*6y*sqrt(6y)
= 18y*sqrt(6y)
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2. ^3square root[(x+3)^3 divide by (x-4)^6]
Separate the radicand into a perfect square and another factor:
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= 3sqrt[(x+3)^2/(x-4)^6]*sqrt(x+3)
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= 3*[(x+3)/(x-4)^3]*sqrt(x+3)
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Cheers,
Stan H.