How could I prove that $\Bbb Q({\sqrt2},{\sqrt3})$ and $\Bbb Q(2^\frac{1}{4}))$ aren't isomorphic? I need to prove it and I don't know how, but it seems easy. Thanks everybody.
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4One is Galois, one isn't. – Angina Seng Apr 20 '20 at 17:24
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1There are infinitely many numbers in $\Bbb{Q}$ already, so [tag:finite-fields] was inappropriate. – Jyrki Lahtonen Apr 21 '20 at 05:01