Wily Theorem 1. Fermat's last theorem, proved by Andrew Wiles in 1994, states that: for any natural n > 2 there are no natural numbers a, b, c such that an bc Assuming Fermat's theorem, give a simple proof that V2 is not a rational number. (Hint: you can also give a dirct proof that does not use the Fermat's last theorem, but note that you then might loose the joy of proving a corollary to Fermat's theorem:)