SOLUTION: HELP!!!! I do not know how to do these two problems. If you can show me how to do the problems and explain them, that would be extremely helpful. Thank you in advance(: 1. ^3s

Question 255842: HELP!!!! I do not know how to do these two problems. If you can show me how to do the problems and explain them, that would be extremely helpful. Thank you in advance(:

1. ^3square root(216y^3)
2. ^3square root[(x+3)^3 divide by (x-4)^6]

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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:
---
= 3sqrt(36y^2*6y)
---
= 3sqrt(36y^2)*sqrt(6y)
---
= 3*6y*sqrt(6y)
= 18y*sqrt(6y)
-------------------------------

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

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