I want to find the discriminant of the number field $\mathbb{Q}(\sqrt2)$ and the field $\mathbb{Q}(\sqrt2,i)$ and $\mathbb{Q}(\sqrt3+i)$ ?

How to do this ?

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I want to find the discriminant of the number field $\mathbb{Q}(\sqrt2)$ and the field $\mathbb{Q}(\sqrt2,i)$ and $\mathbb{Q}(\sqrt3+i)$ ?

How to do this ?

I want to find the discriminant of the number field $\mathbb{Q}(\sqrt2)$ and the field $\mathbb{Q}(\sqrt2,i)$ and $\mathbb{Q}(\sqrt3+i)$ ?

How to do this ?

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