#### Question

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(n^2 - n^2)):(m - sqrt(m^2 - n^2))`.

#### Solution

Let the two numbers be *a* and *b*.

Adding (1) and (2), we obtain

Is there an error in this question or solution?

Solution 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(N^2 - N^2)):(M - Sqrt(M^2 - N^2))`. Concept: Relationship Between A.M. and G.M..