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

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)))

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 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

The A.M and G.M of two numbers a and b are 18 and 6 respectively then H.M of a and b is

If sum of two numbers a&b is n xx their G.M then show that (a)/(b)=(n+sqrt(n^(2)-4))/(n-sqrt(n^(2)-4))

If m be the A.M. and g be the G.M. of two positive numbers 'a' and 'b' such that m:g=1:2 , then (a)/(b) can be equal to