What exactly is a root in a field? – math.stackexchange.com

What exactly is a root in a field? – math.stackexchange.com

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What is meant when one says that a finite field contains an $n$th root of $a$? Is it an exquisite way to say that the multiplicative group of the field has an element $x$ such that $x^n=a$? If $a=-1$, ...

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