SOLUTION: simplify by factoring: 4th root of √96x^8y^10

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Question 338767: simplify by factoring:
4th root of √96x^8y^10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%284%2C96x%5E8y%5E10%29 Start with the given expression


root%284%2C96%29root%284%2Cx%5E8%29root%284%2Cy%5E10%29 Break up the root


2%2Aroot%284%2C6%29%2Aroot%284%2Cx%5E8%29root%284%2Cy%5E10%29%29 Simplify root%284%2C96%29 to get 2%2Aroot%284%2C6%29


2%2Aroot%284%2C6%29%2Ax%5E2%2Aroot%284%2Cy%5E10%29 Simplify root%284%2Cx%5E8%29 to get x%5E2


2%2Aroot%284%2C6%29%2Ax%5E2%2Ay%5E2%2Aroot%284%2Cy%5E2%29 Simplify root%284%2Cy%5E10%29 to get y%5E2%2Aroot%284%2Cy%5E2%29


2%2Ax%5E2%2Ay%5E2%2Aroot%284%2C6%29%2Aroot%284%2Cy%5E2%29 Rearrange the terms


2%2Ax%5E2%2Ay%5E2%2Aroot%284%2C6%2Ay%5E2%29 Combine the roots


So root%284%2C96x%5E8y%5E10%29=2%2Ax%5E2%2Ay%5E2%2Aroot%284%2C6%2Ay%5E2%29


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

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Jim