Perhaps we can call an algebraic number that can be represented with rational ops and roots a "constructible" number. Then what I want is a non-constructible algebraic number. Is there a shorter and/or traditional name for non-constructible algebraic number? At 05:56 PM 10/16/2012, Michael Kleber wrote:
On Mon, Oct 15, 2012 at 10:45 PM, Henry Baker <hbaker1@pipeline.com> wrote:
"Transcendental" means not the root of any finite polynomial with integer coefficients.
http://en.wikipedia.org/wiki/Transcendental_number
Is there a name for a number which isn't algebraic for a _solvable_ Galois polynomial -- i.e., a number which can't be constructed by rational & root operations?
I think the most common description would be "[not] solvable/expressible by radicals". I don't know of a dedicated term for either state.
--Michael