User:Aturtschi

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

${\frac {1}{4}}\cdot {\sqrt {5}}\quad +$

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

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

${\frac {1}{16}}\cdot {\sqrt {17}}\quad +$

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

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

${\frac {1}{4}}\cdot {\sqrt {-{\frac {17}{2}}+{\frac {1}{2}}\cdot {\sqrt {17}}-{\sqrt {{\frac {17}{2}}-{\frac {1}{2}}\cdot {\sqrt {17}}}}+{\sqrt {17+3\cdot {\sqrt {17}}+{\sqrt {170+38\cdot {\sqrt {17}}}}}}}}$