# Algebraic Number

## Algebraic Number

Complex number that is the root of a non-zero polynomial with rational coefficients.

Numbers such as π, sin(1), e, 2sin(3) are not algebraic numbers. They are called transcendental numbers.

### Example

The number $$\sqrt{7}$$ is an algebraic number, since it is the root of the equation : $${x^2}– 7 = 0$$.

The complex (imaginary) number $$2$$i = $$2\sqrt{-1}$$ is an algebraic number because it is the solution to the equation x2 + 4 = 0.