Algebraic number

complex number that is a root of a non-zero polynomial in one variable with rational coefficients

An algebraic number is any real number that is a solution of some one-variable polynomial equation whose coefficients are all integers. All rational numbers are algebraic numbers, along with some irrational numbers. For example, the golden ratio is a solution to the equation . A real number that is not algebraic is called transcendental.

While this is an abstract notion, theoretical mathematics has potentially far-reaching applications in communications and computer science, especially in data encryption and security.[1]


  1. "What is algebraic number? - Definition from". Retrieved 2020-11-09.