Well, . And are irreducible. But . Hence is the unique expression of in as a product of irreducibles. Can you finish from there?
Hello Math Help Forum,
I saw the following problem on another forum but the responses were all over the place and I was hoping if someone could give some clarity. The problem states:
Assume for relatively prime quadratic integers in . It can be shown that for some unit and some quadratic integer in .
Can someone explain how this is shown?