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- #1

- Thread starter LARaiders
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- Thread starter
- #1

Remark, note that

[tex][\mathbb{Q}(\sqrt{5},\sqrt{7}):\mathbb{Q}]=[\mathbb{Q}(\sqrt{5},\sqrt{7}),\mathbb{Q}(\sqrt{7})][\mathbb{Q}(\sqrt{7}):\mathbb{Q}][/tex]

- May 12, 2013

- 84

Try

\(\displaystyle f(x) = (x^2-7)(x^2-5)\)

2)

What does

\(\displaystyle \phi \in Gal(\mathbb{Q}(4 \sqrt{3})|\mathbb{Q})\) do to the roots of the minimal polynomial?