SOLUTION: http://i143.photobucket.com/albums/r147/kwokings033/untitled-2.jpg Can you please help me put this equation into simplest form. Assume all variables are positive and please s

Algebra ->  Radicals -> SOLUTION: http://i143.photobucket.com/albums/r147/kwokings033/untitled-2.jpg Can you please help me put this equation into simplest form. Assume all variables are positive and please s      Log On


   

Question 177768: http://i143.photobucket.com/albums/r147/kwokings033/untitled-2.jpg Can you please help me put this equation into simplest form. Assume all variables are positive and please show your work! THANKS! I've tried to do it myself but it doesn't work because I don't know how to solve if the radical is under the radical.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2Croot%284%2Cx%29%29%2Asqrt%28root%283%2Cx%29%29 can be written as
:
%28%28x%29%5E%281%2F4%29%29%5E%281%2F3%29%2A%28%28x%29%5E%281%2F3%29%29%5E%281%2F2%29
:
by rule %28%28x%29%5En%29%5Em=x%5Emn and x%5En%2Ax%5Em=x%5E%28m%2Bn%29
:
so x%5E%281%2F12%29%2Ax%5E%281%2F6%29
:
x%5E%281%2F12%2B1%2F6%29
:
1/12+1/6=1/12+2/12=3/12=1/4
:
x%5E%281%2F4%29
:
root%284%2Cx%29