File:Isosceles_right_triangle_with_legs_length_1.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ168817· pop 64· linked from 324 articles

algebraic number

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

AI overview

An algebraic number is a type of number that solves a polynomial equation—like x² - 2 = 0—where the equation is built from whole numbers or fractions. These numbers matter because they form a fundamental building block in mathematics, helping us understand the structure of number systems and solve important problems in algebra and number theory.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Image: Algebraic number in the complex plane.png

Show 1 more fact

Commons category: Algebraic numbers

Sources (4)

via Wikidata · CC0

~16 min read

Article

The square root of 2 is an algebraic number equal to the length of the hypotenuse of a right triangle with legs of length 1.

In mathematics, an algebraic number is a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients. For example, the golden ratio