Field Theory 05/04/2017 by Yu · Published 05/04/2017 · Last modified 07/18/2017 Cubic Polynomial $x^3-2$ is Irreducible Over the Field $\Q(i)$ Problem 399 Prove that the cubic polynomial $x^3-2$ is irreducible over the field $\Q(i)$. Read solution Click here if solved 72 Add to solve later