Answer
$2x^{2}\sqrt[4] {3x}$
Work Step by Step
$\sqrt[4] {48x^{9}}$
=$\sqrt[4] {16\times3\times x^{8}\times x}$
=$\sqrt[4] {2^{4}\times3\times x^{8}\times x}$
=$\sqrt[4] {2^{4}\times x^{8}\times 3\times x}$
=$\sqrt[4] {2^{4}\times x^{8}}\times \sqrt[4] {3\times x}$
=$2\times x^{2}\times \sqrt[4] {3\times x}$
=$2x^{2}\sqrt[4] {3x}$
