Answer
$5\sqrt[3]{2}$
Work Step by Step
Simplify each radical, when needed, to have:
$=\sqrt[3]{2}-\sqrt[3]{8(2)} + 2\sqrt[3]{27(2)}
\\= \sqrt[3]{2} -2\sqrt[3]{2} + 2\cdot3\sqrt[3]{2}
\\= \sqrt[3]{2} -2\sqrt[3]{2} + 6\sqrt[3]{2}$
Combine like terms to have:
$=(1-2+6)\sqrt[3]{2}
\\=5\sqrt[3]{2}$
