Chapter 8 - Section 8.2 - Multiplying and Dividing Radicals - Exercise Set - Page 585: 95

$3\sqrt[3]{2}$

Getting the perfect factors and then extracting its root, the simplified form of the given expression, $ \sqrt[3]{54} ,$ is \begin{array}{l}\require{cancel} \sqrt[3]{27\cdot2} \\\\= \sqrt[3]{(3)^3\cdot2} \\\\= 3\sqrt[3]{2} .\end{array}