The arithmetic mean between two numbers is A and the geometric mean is G. Then these numbers are:

Explanation

let nos be `x & y`

`(x+y)/2 =A`

`x+y = 2A`

`sqrt(xy) = a`

`xy = a^2`

`x-y = sqrt((x+y)^2 - 4xy)`

`= sqrt(4A^2 - 4G^2)`

`x-y = 2 sqrt(A^2 - G^2 )`

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