I am reading R. Y. Sharp: Steps in Commutative Algebra, Chapter 5 - Commutative Noetherian Rings

Exercise 8.5 on page 147 reads as follows:

8,5 Exercise.

Show that the subring $\displaystyle \mathbb{Z} [ \sqrt{-5} ] $ of the field $\displaystyle \mathbb{C} $ is Noetherian.


Can someone please help me get started on this problem and give me a solution strategy.