- #1
swampwiz
- 571
- 83
I'm trying to grok what an algebraic number could look like. Yes, I understand that an algebraic number is any number that could be a solution (root) to a polynomial having integer coefficients (or rational coefficients, since any set of rational coefficients can be made into integers by scaling the entire polynomial equation).
I can't prove it, but it seems that an algebraic number follows a few rules:
- any rational number is an algebraic number
- any deMoivre root of an algebraic number is an algebraic number
- the sum or product of any pair of algebraic numbers is an algebraic number
Is my understanding accurate here? If so, is there any way to prove this?
I can't prove it, but it seems that an algebraic number follows a few rules:
- any rational number is an algebraic number
- any deMoivre root of an algebraic number is an algebraic number
- the sum or product of any pair of algebraic numbers is an algebraic number
Is my understanding accurate here? If so, is there any way to prove this?