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Simplify sqrt(x*sqrt(x)).    Express your answer in simplest radical form in terms of x.

 Jun 3, 2021
 #1
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x * sqrt (x)   =    sqrt (x^3) =    x^(3/2)

 

So

 

sqrt  [ sqrt (x^3)  ]   =    sqrt  [  x^(3/2) ]  =   [x^(3/2)] ^(1/2)   =   x ^ (3/4)    =   4√(x^3)  

 

 

cool cool cool

 Jun 3, 2021

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