An algebraic number is a complex number that is a possible root of a non-zero polynomial function with rational coefficients and natural exponents. For example, if we take , , and , we will find these numbers to be algebraic since: ; ; . Also, any rational number is also algebraic, since it is a root of . Any number that is not algebraic, that is, not a root of any non-trivial polynomial function with rational roots, is defined to be transcendental. In this way, constructing such a polynomial with a specific root proves that the given root is an algebraic number.