Question

the Arithmetic mean between a and b is twice the geometric mean between A and B prove that a/b is equal to 7 + 4 root 3 or 7 - 4 root 3 .

Answer 1

Let A be the arithmetical mean and G be the geometrical mean between a and b . So .. A = 2G given. Therefore (a+b)÷2 = 2 (under root of ab) a+b= 4 (Sq rt ab) .