AM/GM
Intermediate
Let $a, b, c$ be positive numbers such that $a+b+c=1$. Prove $$\Big(1+\frac{1}{a}\Big)\Big(1+\frac{1}{b}\Big)\Big(1+\frac{1}{c}\Big)\ge 64$$
The solution for this problem is available for
$0.99.
You can also purchase a pass for all available solutions for
$99.