The discussion centers around approximating the expression 1.58800 - (1.5402 sqrt(-1)). Two approximations are suggested: 1.6 - 1.5i and 14 + 39i, with the latter being deemed not very accurate. Participants express confusion over the vagueness of the original question and request more context, particularly if it is a homework problem. The need for a complete statement of the problem is emphasized to provide a better solution. Clarity in the problem's context is crucial for determining the appropriateness of the approximations.