# Math Help - irreducibility

1. ## irreducibility

How can i make sure that 3+i is irreducible in Z[sqrt(i)] a+bi, a,b in Z.

2. Originally Posted by JCIR
How can i make sure that 3+i is irreducible in Z[sqrt(i)] a+bi, a,b in Z.
Show $(3+i)=(a+bi)(c+di)$ is impossible in a non-trivial factorization.