Is $\mathbb{Z}[{ \sqrt 8 } ] $ will form euclidean domain ? Yes/No
I have some confusion that is what is difference between euclidean domain and euclidean Norms ?
My attempt : I thinks yes
i know that $d( a+b \sqrt 8) = |a^2 - 8b^2 | $ as i can show it is euclidean domain by same pattern $\mathbb{Z}[{ \sqrt 2 } ]$ is euclidean domain