## sauravshakya 3 years ago x^y = z If x and y are irrational numbers and z is a rational number. Is there a solution?

1. sauravshakya

If x=(a)^1/y where x is irrational , y is irrational and a is rational then, x^y = a

2. sauravshakya

will this work?

3. sauravshakya

For example: |dw:1356680172893:dw|

4. sauravshakya

|dw:1356680304397:dw|

5. hartnn
6. sauravshakya

transcendental means irrational?

7. hartnn

$$[(\sqrt 2)^{\sqrt 2}]^{\sqrt 2}=2$$

8. UnkleRhaukus

transcendental is a sub set of irrational

9. sauravshakya

oh... that one is better @hartnn