Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Algebraic Number

    Basic definition

    An algebraic number is a number that is the root of some polynomial with integer coefficients. Algebraic numbers can be real or complex and need not be rational.

    Detailed definition

    If r is a root of a nonzero polynomial equation
a_n x^n + a_(n - 1) x^(n - 1) + ... + a_1 x + a_0 = 0, where the a_is are integers (or equivalently, rational numbers) and r satisfies no similar equation of degree <n, then r is said to be an algebraic number of degree n.
A number that is not algebraic is said to be transcendental. If r is an algebraic number and a_n = 1, then it is called an algebraic integer.

    Educational grade level

    college level

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.