Monday, 17 March 2014

abstract algebra - Efficient way to find [mathbbQ(sqrt5,sqrt3,sqrt2):mathbbQ(sqrt3,sqrt2)]

I want to show rigorously that this is 2. I'm sure there's a faster way than by trying to see if 5=a+b2+c3+d6 (linear combination of the basis elements for Q(3,2)). I'm just not sure what.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...