User:Aturtschi

$$ \sqrt[5]{1} = -\frac{1}{4} \quad + $$
 * $$\frac{1}{4} \cdot \sqrt{5} \quad +$$


 * $$\frac{1}{2} \cdot \sqrt{-\frac{5}{2} -\frac{1}{2} \cdot \sqrt{5}} $$

$$ \sqrt[17]{1} = -\frac{1}{16} \quad + $$
 * $$\frac{1}{16} \cdot \sqrt{17} \quad +$$


 * $$\frac{1}{8} \cdot \sqrt{\frac{17}{2} -\frac{1}{2} \cdot \sqrt{17}} \quad + $$


 * $$\frac{1}{4} \cdot \sqrt{\frac{17}{4} + \frac{3}{4} \cdot \sqrt{17} -\frac{1}{2} \cdot \sqrt{\frac{85}{2} + \frac{19}{2} \cdot \sqrt{17}}} \quad + $$


 * $$\frac{1}{4} \cdot \sqrt{

-\frac{17}{2} + \frac{1}{2} \cdot \sqrt{17} - \sqrt{\frac{17}{2} -\frac{1}{2} \cdot \sqrt{17}} + \sqrt{17 +         3 \cdot \sqrt{17} + \sqrt{170 + 38 \cdot \sqrt{17}}} }

$$