Answer
$4\sqrt[3]{3}$
Work Step by Step
Subtracting the coefficients and then copying the common radical expression, the given expression, $
6\sqrt[3]{3}-2\sqrt[3]{3}
,$ is equivalent to
\begin{align*}
&
(6-2)\sqrt[3]{3}
\\&=
4\sqrt[3]{3}
.\end{align*}
Hence, the given expression simplifies to $
4\sqrt[3]{3}
$.