# algebraic number

## English

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### 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 ${\displaystyle x^{2}+x-1=0}$, whose coefficients are integers.
The square root of any integer 'n' is an algebraic number since it is a solution of the quadratic equation ${\displaystyle x^{2}-n=0}$, whose coefficients are integers.