# Answer to Question #16736 in Algebra for Hym@n B@ss

Question #16736

Let R =

Z 2pZ

Z Z

where p is an odd prime. Show that 2p ∈ R^2, p ∈R^2, but 2 ∈ R^2 iff 2 is a square in Z/pZ.

Z 2pZ

Z Z

where p is an odd prime. Show that 2p ∈ R^2, p ∈R^2, but 2 ∈ R^2 iff 2 is a square in Z/pZ.

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