SOLUTION: cube root of 128x^5y^4z^3

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Question 373073: cube root of 128x^5y^4z^3
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2C+128x%5E5y%5E4z%5E3%29
To simplify a cube root, look for perfect cube factors:
root%283%2C+64%2A2%2Ax%5E3%2Ax%5E2%2Ay%5E3%2Ay%2Az%5E3%29
Then we use a property of radicals, root%28a%2C+p%2Aq%29+=+root%28a%2C+p%29+%2A+root%28a%2C+q%29, to separate the perfect cube factors into their own cube roots. (We will just leave all the factors which are not perfect cubes in a single cube root.):

The cube roots of each of the perfect cubes can be simplified:
4%2Ax%2Ay%2Az%2Aroot%283%2C+2x%5E2y%29
or
4xyz%2Aroot%283%2C+2x%5E2y%29
This is the simplified version of your original expression.