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

 Dec 19, 2021
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\(\sqrt(x\sqrt(x))\) on the inside of the parenthesis, move the x to the inside of the other sqrt, so that

\(\sqrt(\sqrt(x^3))\) the inside sqrt can be combined with the 3 on the inside, so that
\(\sqrt(x^{3/2})\). This is also the answer.

It can also be expressed as \(x^{3/4}\)

 Dec 19, 2021

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