1. ## Algebraic proof

How do i prove this?
If x > 0, y > 0, prove that x + y ≥ 2√¯¯xy.
Thanks.

2. Originally Posted by Detanon
How do i prove this?
If x > 0, y > 0, prove that x + y ≥ 2√¯¯xy.
Thanks.
$(a-b)^2\ge 0$
$a^2-2ab+b^2\ge 0$
Let $a=\sqrt{x}~\&~b=\sqrt{y}$