Quiz: Remember the definition of mal de mer?

algebraic number

noun, Mathematics
a root of an algebraic equation with integral coefficients.
root1 (def 10b).
1930-35 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
Cite This Source
British Dictionary definitions for algebraic-number

algebraic number

any number that is a root of a polynomial equation having rational coefficients such as √2 but not π Compare transcendental number
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Cite This Source
Encyclopedia Article for algebraic-number

algebraic number

real number for which there exists a polynomial equation with integer coefficients such that the given real number is a solution. Algebraic numbers include all of the natural numbers, all rational numbers, some irrational numbers, and complex numbers of the form pi+q, where p and q are rational, and i is the square root of 1. For example, i is a root of the polynomial x2+1=0. Numbers, such as that symbolized by the Greek letter pi, that are not algebraic are called transcendental numbers. The mathematician Georg Cantor proved that, in a sense that can be made precise, there are many more transcendental numbers than there are algebraic numbers, even though there are infinitely many of these latter.

Learn more about algebraic number with a free trial on
Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
Cite This Source

Word of the Day

Difficulty index for algebraic number

Few English speakers likely know this word

Word Value for algebraic

Scrabble Words With Friends

Quotes with algebraic-number