Wurzeln

Wurzelgesetze

\[\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{a \cdot b}\] \[\frac{\sqrt[n]{a}}{\sqrt[n]{b}} = \sqrt[n]{\frac{a}{b}}\] \[\sqrt[n]{\sqrt[m]{a}} = \sqrt[m]{\sqrt[n]{a}} = \sqrt[n \cdot m]{a}\] \[\left(\sqrt[n]{a}\right)^m = \sqrt[n]{a^m} = a^{\frac{m}{n}}\]