Question 974846
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You can't get much simpler than


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{\frac{x^{\frac{1}{9}}}{x^{\frac{1}{9}}\ -\ 6}}]


The only thing there is to try with this is to rationalize the denominator, and that path gets you nowhere.


Depending on what computations or processes that you intend after this point, you might want to leave it with fractional exponents throughout,


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{x^{\frac{1}{9}}}{x^{\frac{1}{9}}\ -\ 6}\right)^{\frac{1}{2}}]


Or perhaps organize a campus protest against ugliness in mathematics.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \