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Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 10
2003 AMC 10
9
Nested Roots
Nested Roots
Source:
January 2, 2009
AoPSwiki
Problem Statement
Simplify
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\sqrt[3]{x\sqrt[3]{x\sqrt[3]{x\sqrt{x}}}}
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<span class='latex-bold'>(A)</span>\ \sqrt{x} \qquad <span class='latex-bold'>(B)</span>\ \sqrt[3]{x^2} \qquad <span class='latex-bold'>(C)</span>\ \sqrt[27]{x^2} \qquad <span class='latex-bold'>(D)</span>\ \sqrt[54]{x} \qquad <span class='latex-bold'>(E)</span>\ \sqrt[81]{x^{80}}
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