If the A.M. of two positive numbers `aa n db(a > b)` is twice their geometric mean. Prove that : `a : b=(2+sqrt(3)):(2-sqrt(3))dot`

If the A.M.of two positive numbers a and b(a>b) is twice their geometric mean.Prove that : a:b=(2+sqrt(3)):(2-sqrt(3))

If the AM of two positive numbers a and b (agtb) is twice of their GM, then a:b is

If the arithmetic means of two positive number a and b (a gt b ) is twice their geometric mean, then find the ratio a: b

If the AM of two positive numbers be three xx their geometric mean then the ratio of the numbers is

If the ratio of A.M. and G.M. of two positive numbers a and b is m : n, then prove that : a:b=(m+sqrt(m^(2)-n^(2))):(m-sqrt(m^(2)-n^(2)))

If the arithmetic mean between a and b is twice as great as the geometric mean,show that (a)/(b)=(2+sqrt(3))/(2-sqrt(3))

The ratio of the A.M.and G.M.of two positive numbers a and b,is : n .Show that a :b=(m+sqrt(m^(2)-n^(2))):(m-sqrt(m^(2)-n^(2)))