Answer
$6\sqrt[3]{11}-4\sqrt[]{11}$
Work Step by Step
Using the properties of radicals, then,
\begin{array}{l}
6\sqrt[3]{11}+8\sqrt[]{11}-12\sqrt[]{11}
\\=
6\sqrt[3]{11}+(8\sqrt[]{11}-12\sqrt[]{11})
\\=
6\sqrt[3]{11}-4\sqrt[]{11}
.\end{array}