Algebraic Number/Examples/2 - Root 2 i

Example of Algebraic Number

 * $2 - \sqrt 2 i$ is an algebraic number.

Proof
Let $x = 2 - \sqrt 2 i$.

We have that:

Thus $2 - \sqrt 2 i$ is a root of $x^2 - 4 x + 6 = 0$.

Hence the result by definition of algebraic number.