Answer
$14\sqrt[3] {2}$.
Work Step by Step
The given expression is
$=4\sqrt[3] {16}+2\sqrt[3]{54}$
Factor the radicands using the greatest perfect cube factors.
$=4\sqrt[3] {2^3\cdot 2}+2\sqrt[3]{3^3\cdot 2}$
Take the cube root of each factor.
$=4\sqrt[3] {2^3}\cdot \sqrt[3] {2}+2\sqrt[3]{3^3}\cdot \sqrt[3] {2}$
Simplify.
$=4\cdot 2\cdot \sqrt[3] {2}+2\cdot 3\cdot \sqrt[3] {2}$
Multiply.
$=8\sqrt[3] {2}+6 \sqrt[3] {2}$
Apply the distributive property.
$=(8+6)\sqrt[3] {2}$
Simplify.
$=14\sqrt[3] {2}$.
