KöMaL 2026 B5512

Prove that $\frac{1}{\sqrt[n]{k}}+\frac{1}{\sqrt[k]{n}}\geq 1+\frac1{kn}$ is true for every positive integer $k$ and $n$ .

Official text KöMaL. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.