simplify

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Assume that $x$ is a positive real number. Then simplify

$\large \sqrt[3]{x\sqrt{x}}$

Guest Jan 22, 2021

DewdropDancer · Answer 1 · 2021-01-22T02:38:50

+240

+5

$\sqrt[3]{x\sqrt{x}} =\sqrt[3]{x^{1+\frac{1}{2}}} =\sqrt[3]{x^{\frac{3}{2}}}$

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DewdropDancer Jan 22, 2021

+130475

+2

Note that we can simplify DewdropDancer's answer just a little more

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

CPhill Jan 22, 2021

+240

+5

Ah yes, I missed that part.

+130475

+2

No prob.....you did 99% of the work !!!!

CPhill Jan 22, 2021