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How to prove that $\mathbb{Q}[\sqrt{p_1}, \sqrt{p_2}, \ldots,\sqrt{p_n} ] = \mathbb{Q}[\sqrt{p_1}+ \sqrt{p_2}+\cdots + \sqrt{p_n}]$, for $p_i$ prime?
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$ 2f^{'}(0) = \sup_{z, w \in D} f(z)f(w)$ if and only if $f$ is linear
feb 14 '14
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An exercise about Tor [closed]
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