seanieg89
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- Aug 8, 2006
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- 2007
An amusing corollary of FLT is that the n-th root of 2 is irrational for n > 2.
For if (a/b)^n = 2 for some integers a,b, then a^n = b^n + b^n provides a solution to the Fermat equation
.
Sadly, Fermat's last theorem is not strong enough to prove that the SQUARE root of 2 is irrational.
For if (a/b)^n = 2 for some integers a,b, then a^n = b^n + b^n provides a solution to the Fermat equation
.Sadly, Fermat's last theorem is not strong enough to prove that the SQUARE root of 2 is irrational.