TeX Quellcode:

\begin{array}{rcl} f\left(\sqrt[3]{\dfrac{125}{3}}\right) &=& \genfrac{}{}{1pt}{0}{\sqrt{15\cdot\left(\sqrt[3]{\frac{125}{3}}\right)^3}}{\sqrt{5}}-\left(\sqrt{5}\right)^3\\\\ &=& \genfrac{}{}{1pt}{0}{\sqrt{15\cdot\frac{125}{3}}}{\sqrt{5}}-\left(\sqrt{5}\right)^3 \\\\ &=& \dfrac{\sqrt{625}}{\sqrt{5}}-\left(\sqrt{5}\right)^3 \\\\ &=& \dfrac{\sqrt{5^4}}{\sqrt{5}}-\left(\sqrt{5}\right)^3 \\\\ &=& \sqrt{5^3}-\left(\sqrt{5}\right)^3 \\ &=& 0\end{array}