Saturday, 22 December 2012

abstract algebra - Elementary proof for sqrtpn+1notinmathbbQ(sqrtp1,sqrtp2,ldots,sqrtpn) where pi are different prime numbers.

Take p1,p2,,pn,pn+1 be n+1 prime numbers in PN. pn+1Q(p1,p2,,pn) seems to be quite clear, but still need a proof. I know some proofs are involved with Galois theory, which is not I want.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...