# Answer to Question #12543 in Abstract Algebra for Hym@n B@ss

Question #12543

Prove that next ring is not factorial: R=Z[sqrt(10)]

Expert's answer

Element 6=2*3=-(4+sqrt(10))(4-sqrt(10)).

We have found element with non-unique decomposition, so it is not factorial.

We have found element with non-unique decomposition, so it is not factorial.

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