$\begin{array}{1 1} \sqrt[6]{17},\sqrt [3]{4},\sqrt[4] {6} \\ \sqrt[4]{6},\sqrt [3]{4},\sqrt[6] {17} \\ \sqrt[3]{4},\sqrt [4]{6},\sqrt[6] {17} \\ \sqrt[6]{17},\sqrt [4]{6},\sqrt[3] {4} \end{array} $