# Looks so pretty, but it is too pretty

Algebra Level 4

Consider all positive reals $$a$$ and $$b$$ such that

$ab (a+b) = 2000.$

What is the minimum value of

$\frac{1}{a} + \frac{1}{b} + \frac{1}{a+b} ?$

×

Problem Loading...

Note Loading...

Set Loading...