If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are `A pm sqrt((A+G )(A−G ))` .

If P,Q,R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P-Q is :

If one G.M. mean G and two A.M's p and q be inserted between two given numbers, prove that G^(2)= (2p-q) (2q-p)

If A.M and G.M of two positive numbers a and b 10 and 8 respectively , find the numbers ?

If A,G and H are respectively the A.M., the G.M. and the H.M. between two positive numbers 'a' and 'b' , then :

If 12 and 9 are respectively A.M and G.M of two numbers, then the numbers are the roots of the equation

The A.M and G.M of two numbers are in the ratio 3: 2, then the ratio of the numbers is

If the ratio of H.M. and G.M. between two numbers a and b is 4:5 , then the ratio of the two numbers will be

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,G and H are respectively A.M.,G.M. and H.M. of three positive numbers a,b and c, then the equation whose roots are a,b,c is given by :