By the Gelfond–Schneider theorem, $2^{\sqrt2}$ is transcendental.
$2^{\sqrt 2}$ is called the Gelfond–Schneider constant.
See also http://math.stackexchange.com/questions/173804/deciding-whether-2-sqrt2-is-irrational-transcendental
|
2 | added 144 characters in body | ||
|
|
||||
|
|
1 |
|
||
|
By the Gelfond–Schneider theorem, $2^{\sqrt2}$ is transcendental. See also http://math.stackexchange.com/questions/173804/deciding-whether-2-sqrt2-is-irrational-transcendental |
||||
