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OMK 2010

Source: Malaysia National Olympiad 2010 Sulung Category Problem 9

June 4, 2011
number theory unsolvednumber theory

Problem Statement

Show that there exist integers mm and nn such that mn=50+73−50−73.\dfrac{m}{n}=\sqrt[3]{\sqrt{50}+7}-\sqrt[3]{\sqrt{50}-7}.
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