Psudo wrote:
The questions that come to mind, however, are probably unanswerable. For example, the question "Is it a ratio of two roots of integers?" might be infinitely difficult to answer. Or, on the other hand, it might be true of every real number.
Actually that particular question wouldn't be hard answer at all. A ratio of two roots of integers would be a root of a rational number.
Psudo wrote:
Q5) Does the required simple-enough-you-can-remember-it form contain a root or fractional power of any kind?
Yes.
If I were really nitpicky, I could complain, that your question is slightly ill-defined, but that would be going a bit far.
Sorry for taking so long.