Prove that (√2)^(√2) is irrational (assuming that √2 is irrational).

- Feb 23rd 2010, 02:07 PMfeyomiProve that (√2)^(√2) is irrational (assuming that √2 is irrational).
Prove that (√2)^(√2) is irrational (assuming that √2 is irrational).

- Feb 23rd 2010, 06:54 PMmr fantastic
Read this: Gelfond's Theorem -- from Wolfram MathWorld