Maple seems to like "radical number": http://www.maplesoft.com/support/help/Maple/view.aspx?path=type/radnum "A radical number is defined as either a rational number or I, or a combination of roots of rational numbers specified in terms of radicals. A sum, product, or quotient of these is also a radical number." At 07:54 AM 10/17/2012, Schroeppel, Richard wrote:
Radical numbers?
-----Original Message----- From: math-fun-bounces@mailman.xmission.com [mailto:math-fun-bounces@mailman.xmission.com] On Behalf Of Michael Kleber Sent: Tuesday, October 16, 2012 6:57 PM To: math-fun Subject: [EXTERNAL] Re: [math-fun] Computing pi (or anything else) to N digits
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