Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Exercise Set - Page 717: 9

$\dfrac{3}{\sqrt[3]{4x^{2}}}=\dfrac{3\sqrt[3]{2x}}{2x}$

$\dfrac{3}{\sqrt[3]{4x^{2}}}$ Multiply the fraction by $\dfrac{\sqrt[3]{2x}}{\sqrt[3]{2x}}$ and simplify: $\dfrac{3}{\sqrt[3]{4x^{2}}}=\dfrac{3}{\sqrt[3]{4x^{2}}}\cdot\dfrac{\sqrt[3]{2x}}{\sqrt[3]{2x}}=\dfrac{3\sqrt[3]{2x}}{\sqrt[3]{8x^{3}}}=\dfrac{3\sqrt[3]{2x}}{2x}$