- #1

cepheid

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[tex] \sqrt[n]{A} [/tex]

My question is, how do we know that this is true i.e. that [itex] \sqrt[n]{A} [/itex] exists for all real numbers if n is odd, and for all positive real numbers if n is even?

Note: I have studied Complex Analysis. I am not interested in the other n-1 complex roots of the number.