...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!

Quote:

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Originally Posted by NikoBellic

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!

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This is just computation. What are you having trouble with?