MathDB

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Part of 2015 Israel National Olympiad

Problems(1)

Israel 2015 Q3 - Root expression is an integer

Source: Israel National Olympiad 2015 Q3

8/7/2019
Prove that the number (761773−753−57753+176773+753+57753)3\left(\frac{76}{\frac{1}{\sqrt[3]{77}-\sqrt[3]{75}}-\sqrt[3]{5775}}+\frac{1}{\frac{76}{\sqrt[3]{77}+\sqrt[3]{75}}+\sqrt[3]{5775}}\right)^3 is an integer.
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