Is the set of irrational numbersclosedunder the operation of exponentiation? That is, for all irrational numbersaandb, isa^birrational? Why?

Printable View

- Sep 25th 2011, 03:16 PMthamathkid1729Irrational Numbers Question
Is the set of irrational numbers

**closed**under the operation of exponentiation? That is, for all irrational numbers*a*and*b*, is*a*^*b*irrational? Why? - Sep 25th 2011, 06:26 PMDevenoRe: Irrational Numbers Question
i do not know if is rational, but if it is not, then certainly is.

- Sep 26th 2011, 01:36 AMmr fantasticRe: Irrational Numbers Question
- Sep 26th 2011, 01:20 PMebainesRe: Irrational Numbers Question
Consider . if is a rational number than is irrational. So here you have an example of an irrational number raised to an irrational number yielding a rational number result.