SOLUTION: Simplify 3 radical 8x^2y^3z^4 I know 3 radical 8 is 2 but I can't figure out how to do the rest.

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Question 878426: Simplify 3 radical 8x^2y^3z^4
I know 3 radical 8 is 2 but I can't figure out how to do the rest.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The key is to break up whatever you can into cube roots


root%283%2C8x%5E2y%5E3z%5E4%29


root%283%2C8%29%2Aroot%283%2Cx%5E2%29%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cz%5E4%29


root%283%2C2%5E3%29%2Aroot%283%2Cx%5E2%29%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cz%5E4%29


2%2Aroot%283%2Cx%5E2%29%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cz%5E4%29


2%2Aroot%283%2Cx%5E2%29%2Ay%2Aroot%283%2Cz%5E4%29


2%2Ay%2Aroot%283%2Cx%5E2%29%2Aroot%283%2Cz%5E4%29


2%2Ay%2Aroot%283%2Cx%5E2%29%2Aroot%283%2Cz%5E3%2Az%29


2%2Ay%2Aroot%283%2Cx%5E2%29%2Aroot%283%2Cz%5E3%29%2Aroot%283%2Cz%29


2%2Ay%2Aroot%283%2Cx%5E2%29%2Az%2Aroot%283%2Cz%29


2%2Ay%2Az%2Aroot%283%2Cx%5E2%29%2Aroot%283%2Cz%29


2yz%2Aroot%283%2Cx%5E2z%29


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So, root%283%2C8x%5E2y%5E3z%5E4%29 simplifies to 2yz%2Aroot%283%2Cx%5E2z%29