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

Exercise 8.5 on page 147 reads as follows:

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8,5 Exercise.

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

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

Peter