Question about Galois Extension and fixed field by a Subgroup of the Galois group – math.stackexchange.com

Let $E= \mathbb{Q}(\sqrt{2} + \sqrt{7})$ For every $H < \mathrm{Gal}(E/\mathbb{Q})$ identify $\mathcal{F}(H)$ My attempt: Notice that we need to adjoin four elements to reach the splitting ...

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