SOLUTION: Simplify: 3rd order radical of 432x^8 (instead of square root it is the cube root) How is this simplified. is this how you set it up: 3 over the SR of 423x^8 ? I am not

Algebra ->  Algebra  -> Radicals -> SOLUTION: Simplify: 3rd order radical of 432x^8 (instead of square root it is the cube root) How is this simplified. is this how you set it up: 3 over the SR of 423x^8 ? I am not      Log On

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Question 193112: Simplify:
3rd order radical of 432x^8 (instead of square root it is the cube root)
How is this simplified.
is this how you set it up:
3 over the SR of 423x^8 ?
I am not really sue where to go from here. Do I find the cube root of 423 first the mulitiply by power of 8 or the other way around?
thank very much for all your help on this.
this prolbem is from an online homework problem. it is not out of a book. I am currently in a Algebra II class on Univeristy Of Phoenix.
thank you

Answer by jim_thompson5910(28478) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2C432x%5E8%29 Start with the given expression.


root%283%2C216%2A2x%5E8%29 Factor 432 into 216%2A2. Note: 216 is a perfect cube


root%283%2C216%2A2%2Ax%5E3%2Ax%5E3%2Ax%5E2%29 Factor x%5E8 into x%5E3%2Ax%5E3%2Ax%5E2.


Break up the root.


6%2Aroot%283%2C2%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cx%5E2%29 Take the cube root of 216 to get 6


6%2Aroot%283%2C2%29%2Ax%2Ax%2Aroot%283%2Cx%5E2%29 Take the cube root of x%5E3 to get x


6x%5E2%2Aroot%283%2C2x%5E2%29 Rearrange the terms and multiply


So root%283%2C432x%5E8%29=6x%5E2%2Aroot%283%2C2x%5E2%29