Is there a way of calculating the field of elements in a system using the base? I expect that's the main way, I am just unlearned.(adsbygoogle = window.adsbygoogle || []).push({});

For Example base phi: (1+√5)/2 has the FoE Q[√5] = Q + [√5]Q

Is it just any non-rational elements are added to the field? what would base: (√2 / √7) be?

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# Equating Field of Elements via the Radix

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