Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Exercise Set - Page 717: 5

$\dfrac{4}{\sqrt[3]{3}}=\dfrac{4\sqrt[3]{9}}{3}$

$\dfrac{4}{\sqrt[3]{3}}$ Multiply the fraction by $\dfrac{\sqrt[3]{3^{2}}}{\sqrt[3]{3^{2}}}$ and simplify: $\dfrac{4}{\sqrt[3]{3}}=\dfrac{4}{\sqrt[3]{3}}\cdot\dfrac{\sqrt[3]{3^{2}}}{\sqrt[3]{3^{2}}}=\dfrac{4\sqrt[3]{9}}{\sqrt[3]{3^{3}}}=\dfrac{4\sqrt[3]{9}}{3}$