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

Guest Apr 13, 2022

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Best Answer

$\sqrt{x\sqrt{x\sqrt{x}}}=\sqrt{x^{1+\frac{1}{2}+\frac{1}{4}}}$

$\sqrt{x\sqrt{x\sqrt{x}}}=\sqrt{x^{\frac{7}{4}}}$

The ANSWER IS: $\sqrt{x^{\frac{7}{4}}}$

Vinculum Apr 13, 2022

Vinculum · Answer 1 · 2022-04-13T09:29:04

$\sqrt{x\sqrt{x\sqrt{x}}}=\sqrt{x^{1+\frac{1}{2}+\frac{1}{4}}}$

$\sqrt{x\sqrt{x\sqrt{x}}}=\sqrt{x^{\frac{7}{4}}}$

The ANSWER IS: $\sqrt{x^{\frac{7}{4}}}$