Define the norm of an element a + b*sqrt(2) in Z[sqrt(2)] to be a^2 - 2b^2. Prove that the norm takes products to products.

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- Apr 23rd 2010, 08:54 PMNikoBellic...norm takes products to products.
Define the norm of an element a + b*sqrt(2) in Z[sqrt(2)] to be a^2 - 2b^2. Prove that the norm takes products to products.

Thanks! - Apr 23rd 2010, 08:55 PMDrexel28