Abstract Algebra II: isomorphic extension theorem, review of nth roots, 2-22-19

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Sorry to bother you. At minute 24:00 when you squared BETA, shouldn't you have also squared the cube root of 2? because you have BETA = a*b with a= cube root of 2 and b= e^2pi/3. And isnt (a*b)^2 = a^2 * b^2? Thanks a lot for the video by the way

mamauaska