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I need to prove (or disprove) the following statement:

F1 and F2 are two finite field extensions of a field K. Assume [F1:K]=[F2:K]. Then F1 and F2 are isomorphic as fields.

Some help would be much appreciated.

I know the statement is false if i replace "isomorphic as fields" by "isomorphic as fieldextensions", but that's all i can think of so far.

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# Field extensions

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