Chapter 8 - Radical Functions - 8.4 Solving Radical Equations - 8.4 Exercises - Page 654: 71

$\sqrt[3]{40x^2}$

Given \begin{equation} \sqrt[3]{2 x} \cdot \sqrt[3]{20 x}. \end{equation} Multiply the radical expressions because the indices $n= 3$, are the same. \begin{equation} \begin{aligned} \sqrt[3]{2 x} \cdot \sqrt[3]{20 x}& =\sqrt[3]{(2 x)\cdot (20x)} \\ & =\sqrt[3]{40x^2}. \end{aligned} \end{equation}