algebraic number

English

Wikipedia

Noun

algebraic number (plural algebraic numbers)

1. (mathematics) A complex number that is a root of a polynomial equation with rational coefficients.

   The golden ratio (φ) is an algebraic number since it is a solution of the quadratic equation $x^2 + x - 1 = 0$, whose coefficients are integers.

   The square root of any integer 'n' is an algebraic number since it is a solution of the quadratic equation $x^2 - n = 0$, whose coefficients are integers.

Antonyms

• transcendental number

Hyponyms

• algebraic integer
  • phi, golden ratio

Translations

complex number

• Czech: algebraické číslo (cs) n
• Finnish: algebrallinen luku
• German: algebraische Zahl (de) f
• Hungarian: algebrai szám

• Icelandic: algebruleg tala (is) f, algebrutala (is) f
• Serbo-Croatian: algebarski broj (sh) m
• Swedish: algebraiskt tal (sv) n