SOLUTION: Simplify as much as possible. Assume all variables are positive. {{{3p^2}}}{{{root(4, 126p^2)-3p}}}{{{root(4, 512p^6)}}}

Algebra ->  Rational-functions -> SOLUTION: Simplify as much as possible. Assume all variables are positive. {{{3p^2}}}{{{root(4, 126p^2)-3p}}}{{{root(4, 512p^6)}}}      Log On


   

Question 1096480: Simplify as much as possible. Assume all variables are positive. 3p%5E2root%284%2C+126p%5E2%29-3proot%284%2C+512p%5E6%29
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3p%5E2root%284%2C126p%5E2%29-3p%2Aroot%284%2C512p%5E6%29
= 3p%5E2root%284%2C126p%5E2%29-3p%2Aroot%284%2C2%2A2%5E8p%5E4%2Ap%5E2%29
= 3p%5E2root%284%2C126p%5E2%29-3p%2A4p%2Aroot%284%2C2p%5E2%29
= 3p%5E2root%284%2C126p%5E2%29+-+12p%5E2%2Aroot%284%2C2p%5E2%29
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Any further simplification would be a matter of opinion.
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3p%5E2root%284%2C126p%5E2%29-3p%2Aroot%284%2C512p%5E6%29
= root%284%2C10206p%5E10%29-+root%284%2C41472p%5E10%29
Which is "simplified?"