Answer
$-8\sqrt[3]{6}$.
Work Step by Step
The given expression is
$=2\sqrt[3]{6}-5\sqrt[3]{48}$
Factor radicands as a perfect cube.
$=2\sqrt[3]{6}-5\sqrt[3]{2^3\cdot 6}$
Simplify.
$=2\sqrt[3]{6}-5\cdot 2\sqrt[3]{ 6}$
$=2\sqrt[3]{6}-10\sqrt[3]{ 6}$
Use the distributive property.
$=(2-10)\sqrt[3]{6}$
Simplify.
$=-8\sqrt[3]{6}$.
