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Simplify $\sqrt[3]{x \sqrt[3]{x}}$.  Express your answer in simplest radical form in terms of x.

 Apr 4, 2021
 #1
avatar+36916 
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( x * x1/3 )1/3

(x4/3)1/3

x4/9

 Apr 4, 2021
 #3
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@ElectricPavlov Nice solution! However, I believe the asker requested the answer in "simplest radical form".

RiemannIntegralzzz  Apr 4, 2021
 #2
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Moving everything inside the outer radical into the inner radical, we get $\sqrt[3]{\sqrt[3]{x^4}}$. Simplifying square roots, you get $\boxed{\sqrt[9]{x^4}}$

 Apr 4, 2021

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