If `a , b ,c` are three distinct positive real numbers in G.P., then prove that `c^2+2a b >3a cdot`

If a,b,c are three distinct positive real numbers in G.P., than prove that c^2+2ab gt 3ac .

Let a,b,c be three distinct positive real numbers in G.P , then prove that a^(2)+2bc - 3ac gt 0

If a,b,c are distinct positive real numbers, then

If a,b,c are three distinct positive Real Numbers in G.P, then the least value of c^(2)+2ab is

If a,b,c are three distinct real numbers in G.P. and a+b+c=xb, then prove that either x . 3

If a,b,c,d are four distinct positive numbers in G.P.then show that a+d>b+c.

If a,b,c are three distinct positive real numbers which are in H.P., then (3a + 2b)/(2a - b) + (3c + 2b)/(2c - b) is

If a,b,c are three distinct positive real numbers prove that (a+b)^(6)+(b+c)^(6)+(c+a)^(6)>192(abc)^(2)