from China TST 2007
Source: Chinese TST 2007 2nd quiz P1
March 20, 2007
inequalitiestrigonometryquadraticsfunction
Problem Statement
,such that u \plus{} v \plus{} w \plus{} \sqrt {uvw} \equal{} 4
prove that \sqrt {\frac {uv}{w}} \plus{} \sqrt {\frac {vw}{u}} \plus{} \sqrt {\frac {wu}{v}}\geq u \plus{} v \plus{} w