Question 145
Let $a$, $b$, $c$ be positive real numbers. Prove that
$$
\frac{a}{b}+\sqrt{\frac{b}{c}}+\sqrt[3]{\frac{c}{a}}\gt 2
$$
$$
\frac{a}{b}+\sqrt{\frac{b}{c}}+\sqrt[3]{\frac{c}{a}}\gt 2
$$
MathNet 2015-part-03 — 191 problems (EN–VI) Question 145
Math Olympiad Vault · MathNet 2015-part-03 — 191 problems (EN–VI)