algebraic number
A complex number that is a root of a polynomial whose coefficients are integersA complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.
Meaning
1 sensesA complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.
The golden ratio (φ) is an algebraic number since it is a solution of the quadratic equation x²-x-1=0, whose coefficients are integers.
The square root of a rational number, √, is an algebraic number since it is a solution of the quadratic equation nx²-m=0, whose coefficients are integers.
algebraische Zahl
алгебраическое числоalgebraičeskoje čislo
root of an algebraic equation with rational coefficients
Translations
6 languagesBy meaning 1
By meaning 1
Forms
plural: algebraic numbers| Singular | algebraic number |
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| Plural | algebraic numbers |
regular