Class 11

Math

Algebra

Sequences and Series

If the product of two positive numbers is $256$ then the least value of their sum is

- $32$
- $16$
- $48$
- $40$

**Correct Answer: ** Option(a)

**Solution: **$xy=256$

$s=x+y$

$s=x+x256 $

use AM & GM

$2x+x256 ≥(x×x256 )_{21}$

$x+x256 ≥32$