Chapter 8 - Section 8.2 - Multiplying and Dividing Radicals - Exercise Set - Page 585: 98

$2\sqrt[4]{3}$

Getting the perfect factors and then extracting its root, the simplified form of the given expression, $ \sqrt[4]{48} ,$ is \begin{array}{l}\require{cancel} \sqrt[4]{16\cdot3} \\\\= \sqrt[4]{(2)^4\cdot3} \\\\= 2\sqrt[4]{3} .\end{array}