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Cube Root

Source: AMC 10 2008B Problem 3

March 1, 2008
geometry3D geometryAMC

Problem Statement

Assume that x x is a positive real number. Which is equivalent to xx3 \sqrt[3]{x\sqrt{x}}? <spanclass=′latex−bold′>(A)</span> x1/6<spanclass=′latex−bold′>(B)</span> x1/4<spanclass=′latex−bold′>(C)</span> x3/8<spanclass=′latex−bold′>(D)</span> x1/2<spanclass=′latex−bold′>(E)</span> x <span class='latex-bold'>(A)</span>\ x^{1/6} \qquad <span class='latex-bold'>(B)</span>\ x^{1/4} \qquad <span class='latex-bold'>(C)</span>\ x^{3/8} \qquad <span class='latex-bold'>(D)</span>\ x^{1/2} \qquad <span class='latex-bold'>(E)</span>\ x
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