SOLUTION: simplify by factoring: 5th root of √288x^17y^15

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Question 338768: simplify by factoring:
5th root of √288x^17y^15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%285%2C288x%5E17y%5E15%29 Start with the given expression


root%285%2C288%29root%285%2Cx%5E17%29root%285%2Cy%5E15%29 Break up the root


2%2Aroot%285%2C9%29%2Aroot%285%2Cx%5E17%29root%285%2Cy%5E15%29%29 Simplify root%285%2C288%29 to get 2%2Aroot%285%2C9%29


2%2Aroot%285%2C9%29%2Ax%5E3%2Aroot%285%2Cx%5E2%29%2Aroot%285%2Cy%5E15%29 Simplify root%285%2Cx%5E17%29 to get x%5E3%2Aroot%285%2Cx%5E2%29


2%2Aroot%285%2C9%29%2Ax%5E3%2Aroot%285%2Cx%5E2%29%2Ay%5E3 Simplify root%285%2Cy%5E15%29 to get y%5E3


2%2Ax%5E3%2Ay%5E3%2Aroot%285%2C9%29%2Aroot%285%2Cx%5E2%29 Rearrange the terms


2%2Ax%5E3%2Ay%5E3%2Aroot%285%2C9%2Ax%5E2%29 Combine the roots


So root%285%2C288x%5E17y%5E15%29=2%2Ax%5E3%2Ay%5E3%2Aroot%285%2C9%2Ax%5E2%29


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim