TeX Quellcode:

\begin{array}{rcl}\sqrt{\dfrac{-1+\sqrt{17}}{4}+\sqrt{2\cdot\dfrac{-1+\sqrt{17}}{4}+5}} &=& \sqrt{3\cdot\dfrac{-1+\sqrt{17}}{4}+1}\\\\\sqrt{\dfrac{-1+\sqrt{17}}{4}+\sqrt{\dfrac{-2+2\sqrt{17}}{4}+\dfrac{20}{4}}} &=& \sqrt{\dfrac{-3+3\sqrt{17}}{4}+\dfrac{4}{4}}\\\\\sqrt{\dfrac{-1+\sqrt{17}}{4}+\sqrt{\dfrac{18+2\sqrt{17}}{4}}} &=& \sqrt{\dfrac{1+3\sqrt{17}}{4}}\\\\\sqrt{\dfrac{-1+\sqrt{17}}{4}+\dfrac{1}{2}\cdot\sqrt{18+2\sqrt{17}}} &=& \dfrac{1}{2}\cdot\sqrt{1+3\sqrt{17}}\\\\\sqrt{\dfrac{-1+\sqrt{17}}{4}+\dfrac{1}{2}\cdot\sqrt{1+2\sqrt{17}+17}} &=& \dfrac{1}{2}\cdot\sqrt{1+3\sqrt{17}}\\\\\sqrt{\dfrac{-1+\sqrt{17}}{4}+\dfrac{1}{2}\cdot\sqrt{\left(1+\sqrt{17}\right)^2}} &=& \dfrac{1}{2}\cdot\sqrt{1+3\sqrt{17}}\\\\\sqrt{\dfrac{-1+\sqrt{17}}{4}+\dfrac{1+\sqrt{17}}{2}} &=& \dfrac{1}{2}\cdot\sqrt{1+3\sqrt{17}}\\\\\sqrt{\dfrac{-1+\sqrt{17}}{4}+\dfrac{2+2\sqrt{17}}{4}} &=& \dfrac{1}{2}\cdot\sqrt{1+3\sqrt{17}}\\\\\sqrt{\dfrac{1+3\sqrt{17}}{4}} &=& \dfrac{1}{2}\cdot\sqrt{1+3\sqrt{17}}\\\\\dfrac{1}{2}\cdot\sqrt{1+3\sqrt{17}} &=& \dfrac{1}{2}\cdot\sqrt{1+3\sqrt{17}}\end{array}