0\\
\sqrt[6]{x}=t\\
t^{2}-t-2>0\\
t_{1}+t_{2}=1\\
t_{1}t_{2}=-2\\
t_{1}=2\\
t_{2}=-1\\
t \in (-\infty;-1)\cup(2;+\infty)\\
\sqrt[6]{x}=-1 \to \varnothing\\
\sqrt[6]{x}=2\to x=64\\
\\
x \in (64;+\infty)" alt="\sqrt[3]{x}-\sqrt[6]{x}-2>0\\
\sqrt[6]{x}=t\\
t^{2}-t-2>0\\
t_{1}+t_{2}=1\\
t_{1}t_{2}=-2\\
t_{1}=2\\
t_{2}=-1\\
t \in (-\infty;-1)\cup(2;+\infty)\\
\sqrt[6]{x}=-1 \to \varnothing\\
\sqrt[6]{x}=2\to x=64\\
\\
x \in (64;+\infty)" align="absmiddle" class="latex-formula">