#### Answer

$\frac{\sqrt[3] {11}}{3}$

#### Work Step by Step

$\sqrt[3] \frac{11}{8}-\frac{\sqrt[3]{ 11}}{6}$
$\frac{\sqrt[3] {11}}{\sqrt[3] 8}-\frac{\sqrt[3] {11}}{6}$ Simplify.
$\frac{\sqrt[3] {11}}{2}-\frac{\sqrt[3] {11}}{6}$ The LCD is 6.
$\frac{3\sqrt[3] {11}}{6}-\frac{\sqrt[3] {11}}{6}$
$\frac{2\sqrt[3] {11}}{6}$ Subtract.
$\frac{\sqrt[3] {11}}{3}$ Simplify.