By Sally Itani and Issam Mneimneh
Two types of numbers:
An algebraic number is any number that can be written as a root of a polynomial with rational coefficients.
Where did transcendental Numbers come from?
if we are given a complex number "a", can we find a polynomial P with rational coefficients such that P(a) = 0?
If not, then the number is called transcendental.
Properties of Transcendental Numbers
2) Every transcendental number is irrational, but the opposite is not true.
3) A transcendental number cannot be written as a sum of algebraic terms.
4) For any two transcendental numbers "a" and "b", at least one of "ab" or "a+b" is transcendental.