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

Word History and Origins

Origin of algebraic number¹

First recorded in 1930–35

Example Sentences

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

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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.

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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.

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

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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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