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Q: State proof De moivers theorem for rational index?
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Why did Fermat's theorem seem easy?

Pythagoras's theorem, that in a right angled triangle, a2 + b2 = c2 where c is the hypotenuse and a and b are the other two sides is easy to state and its proof has been known for centuries. Fermat's last theorem is analogous but opposite, and is equally easy to state: For any index (power) greater than 2, the analogy of Pythagoras's theorem has no integer solution (other than trivial ones eg a = 0 or b = 0).


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