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Square Root Norm Product Identities: (a^2+db^2)(x^2+dy^2)

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Explanations 1

Recall how we defined the norm of Z[d]\mathbb{Z}[\sqrt{d}]Z[d] to be. N(α)=N(a+bd)=αα‾=a2−db2N(\alpha)=N(a+b\sqrt{d})=\alpha\overline{\alpha}=a^2-db^2N(α)=N(a+bd)=αα=a2−db2. W…
By Jason Chen, Moor Xu