SOLUTION: sqrt5:(-32x^5y^6)

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Question 193522: sqrt5:(-32x^5y^6)
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
root%285%2C-32x%5E5y%5E6%29 Start with the given expression


root%285%2C%28-2%29%5E5%2Ax%5E5y%5E6%29 Rewrite -32 as %28-2%29%5E5


root%285%2C%28-2%29%5E5%2Ax%5E5%2Ay%5E5%2Ay%29 Factor y%5E6 to get y%5E5%2Ay


root%285%2C%28-2%29%5E5%29%2Aroot%285%2Cx%5E5%29%2Aroot%285%2Cy%5E5%29%2Aroot%285%2Cy%29 Break up the root


-2%2Aroot%285%2Cx%5E5%29%2Aroot%285%2Cy%5E5%29%2Aroot%285%2Cy%29 Take the 5th root of %28-2%29%5E5 to get -2


-2x%2Aroot%285%2Cy%5E5%29%2Aroot%285%2Cy%29 Take the 5th root of x%5E5 to get "x"


-2xy%2Aroot%285%2Cy%29 Take the 5th root of y%5E5 to get "y"


So root%285%2C-32x%5E5y%5E6%29=-2xy%2Aroot%285%2Cy%29