Easy inequality
Source: Chinese TST
April 6, 2008
inequalitiesalgebrapolynomialinequalities proposed
Problem Statement
Let be positive real numbers, show that \frac {xy}{z} \plus{} \frac {yz}{x} \plus{} \frac {zx}{y} > 2\sqrt [3]{x^3 \plus{} y^3 \plus{} z^3}.