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algebraic number

noun

, Mathematics.
  1. a root of an algebraic equation with integral coefficients.


algebraic number

noun

  1. 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
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Word History and Origins

Origin of algebraic number1

First recorded in 1930–35
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Example Sentences

But ∛2 belongs to the algebraic numbers, which can be written as solution of a polynomial equation.

In other words, she came up with a proof that the ratio of the long sides to the short sides are “algebraic numbers,” a major topic in number theory.

The tools used to attack it, however, include key advances in algebraic number theory in the late 19th century, as well as in modular forms in the early 20th century.

For example, an algebraic number is the solution to a polynomial equation.

This opens up a lot of new numbers, like √2 and -1/31/12, but the set of algebraic numbers is once again countable.

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algebraic notationalgebraic operation