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\sqrt[3]{5\sqrt{13}+18}-... (II Soros Olympiad 1995-96 R1 9.6)

Source:

June 2, 2024
algebraRadicals

Problem Statement

Without using a calculator (especially a computer), find out what is more: 513+183−213+53   or   1\sqrt[3]{5\sqrt{13}+18}- \sqrt[3]{2\sqrt{13}+5} \,\,\, or \,\,\, 1
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