Amongst all pairs of positive numbers with product 256, find those whose sum is the least.

Explanation

`xy=256`


`s=x+y`


`s=x+frac{256}{x}`


use AM & GM


`frac{x+frac{256}{x}}{2} geq(x times frac{256}{x}) frac{1}{2}`


`x+frac{256}{x} geq 32`