Examples for

# Algebraic Numbers

The set of algebraic numbers is composed of all the complex numbers that are roots of nonzero polynomials with rational coefficients. Notable subsets of this set are the integers, the rational numbers and the constructible numbers. Wolfram|Alpha can be used to detect, compute properties of and perform calculations with algebraic numbers.

Learn about properties of algebraic numbers or do arithmetic with them.

#### Compute properties of an algebraic number:

#### Do exact arithmetic on algebraic numbers:

Work with the subset of algebraic numbers composed of roots of monic polynomials with integer coefficients.

#### Identify algebraic integers and units:

Differentiate between algebraic and transcendental (i.e. nonalgebraic) numbers.

#### Determine whether a number is algebraic:

Find the polynomial of least degree that yields zero when applied to an algebraic number.