Prove that the A.M. of two positive real numbers is greater than their G.M.

If the ratio of A.M. between two positive real numbers a and b to their H.M. is m:n then a:b is equal to :

If A is the A.M. and G is the G.M. of two unequal positive real numbers p and q, prove that A gt G and |G| gt (G^(2))/(A)

If sum of the A.M. & G.M. of two positive distinct numbers is equal to the difference between the number then numbers are in ratio :

If sum of the A.M. & G.M. of two positive distinct numbers is equal to the difference between the number then numbers are in ratio :

The A.M. of two positive numbers is 15 and their G.M is 12. What is the smaller number ?

The A.M. of two positive numbers is 15 and their G.M. is 12 what is the larger number?

The A.M. of two positive numbers a and b is twice their G.M. Prove that - a:b=2+sqrt3:2-sqrt3 .

Prove that the A.M of the reciprocal of two numbers can not be smaller than the reciprocal of their A.M.