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

 Apr 13, 2022

Best Answer 

 #1
avatar+326 
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\(\sqrt{x\sqrt{x\sqrt{x}}}=\sqrt{x^{1+\frac{1}{2}+\frac{1}{4}}}\)

 

\(\sqrt{x\sqrt{x\sqrt{x}}}=\sqrt{x^{\frac{7}{4}}}\)

 

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

 Apr 13, 2022
 #1
avatar+326 
+2
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

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