A Simple Elementary Proof of Fermat's Last Theorem

Abstract

In this article we attempt to describe a short proof of Fermat's Last Theorem. The Fermat's diophantine equation xn = yn + zn gives rise to an equation of (n-1)th degree, which can be proved to have no positive rational roots. This proves the case for any odd prime n. For n = 4 we use the principle of reductioad-absurdum along with a polynomial equation of degree 3. Further Beal's conjecture is examined and proved to be true.