- #1
hkBattousai
- 64
- 0
We can easily comment the result of a root operation just by the information if the degree of the root is odd or even.
But what if the degree of the root (or power) is irrational?
For example;
[itex]-64 ^ \frac{1}{2} \, = \, j8 \,\,\,\,\, (imaginary)[/itex]
[itex]-64 ^ \frac{1}{3} \, = \, -4 \,\,\,\,\, (real)[/itex]
But what about:
[itex]+7^{\pi - 3} \, = \, 7^{0.14159265...}[/itex]
Is it real, imaginary or complex?
But what if the degree of the root (or power) is irrational?
For example;
[itex]-64 ^ \frac{1}{2} \, = \, j8 \,\,\,\,\, (imaginary)[/itex]
[itex]-64 ^ \frac{1}{3} \, = \, -4 \,\,\,\,\, (real)[/itex]
But what about:
[itex]+7^{\pi - 3} \, = \, 7^{0.14159265...}[/itex]
Is it real, imaginary or complex?