SOLUTION: Simplify: XY/the cube root of z

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Question 408062: Simplify: XY/the cube root of z
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28xy%29%2Froot%283%2C+z%29
Part of simplifying radical expressions is to eliminate any radicals in denominators. So our task is to eliminate the radical in the denominator.

The denominator is a single term so eliminating it is fairly simple. We just multiply the numerator and denominator by whatever it takes to turn the denominator into the cube root of a perfect cube:
%28%28xy%29%2Froot%283%2C+z%29%29%28root%283%2C+z%5E2%29%2Froot%283%2C+z%5E2%29%29
which simplifies as follows:
%28xy%2Aroot%283%2C+z%5E2%29%29%2Froot%283%2C+z%5E3%29
%28xy%2Aroot%283%2C+z%5E2%29%29%2Fz
And we're done!