algebraic number

noun phrase

Meaning

Any complex number that is a root of a non-zero polynomial equation with rational coefficients.

Examples

Every rational number is an algebraic number because it can be expressed as the root of a simple linear equation.
The set of all algebraic numbers forms a field, meaning they are closed under addition, subtraction, multiplication, and division.

Synonyms: root, solution, polynomial root, algebraic element

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algebraic number

noun phrase

Pronunciation: /ˌældʒəˈbreɪɪk ˈnʌmbər/

Definition

Any complex number that is a root of a non-zero polynomial equation with rational coefficients.

Examples

Every rational number is an algebraic number because it can be expressed as the root of a simple linear equation.
The set of all algebraic numbers forms a field, meaning they are closed under addition, subtraction, multiplication, and division.

Synonyms of algebraic number

Words with a similar meaning to algebraic number:

Antonyms of algebraic number

Words with the opposite meaning to algebraic number:

transcendental number

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