A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example, is algebraic because it is a root of the polynomial . The number is also algebraic because it is a root of a monic polynomial of degree 8, namely Find
Details and assumptions:
- A monic polynomial is a polynomial whose leading coefficient is 1.
- For those who can't see the square roots clearly, the number is .