IF a,b >0
prove: AM - GM >= GM - HM
Follow Math Help Forum on Facebook and Google+
If I get it right, u need to show that for all a,b>0, .
Both sides are positive; Begin calculating until you get to a valid inequality.
from here we just have to apply AM-GM. Note that .
if you don't know AM-GM, basically it just states: for any we are assured that , with equality iff (if and only if) .
Challenge: Prove that for all nonnegative x and y that
try not to use the fact that