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Turkey NMO 2007 1st Round - P35 (Algebra)

Source:

October 5, 2012

Problem Statement

What is the third digit after the decimal point of the decimal representation of 2+53+2−53\sqrt[3]{2+\sqrt 5} + \sqrt[3]{2-\sqrt 5}?
<spanclass=′latex−bold′>(A)</span> 8<spanclass=′latex−bold′>(B)</span> 5<spanclass=′latex−bold′>(C)</span> 3<spanclass=′latex−bold′>(D)</span> 1<spanclass=′latex−bold′>(E)</span> None of the above <span class='latex-bold'>(A)</span>\ 8 \qquad<span class='latex-bold'>(B)</span>\ 5 \qquad<span class='latex-bold'>(C)</span>\ 3 \qquad<span class='latex-bold'>(D)</span>\ 1 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the above}
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