- #1

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Does anyone know how to show that these fields are equal:

[tex]Q(\sqrt{p_1},\sqrt{p_2},...,\sqrt{p_k})=Q(\sqrt{p_1}+\sqrt{p_2}+...+\sqrt{p_k})[/tex],

where [tex]p_1,...,p_k[/tex] are distinct primes in Z.

One inclusion is clear to me, but I'm having problems showing they're equal. Thanks!