## Algebra: A Combined Approach (4th Edition)

$\sqrt[3]{\dfrac{25}{2}}=\dfrac{5}{\sqrt[3]{10}}$
$\sqrt[3]{\dfrac{25}{2}}$ Rewrite this expression as $\dfrac{\sqrt[3]{25}}{\sqrt[3]{2}}$: $\sqrt[3]{\dfrac{25}{2}}=\dfrac{\sqrt[3]{25}}{\sqrt[3]{2}}=...$ Multiply this fraction by $\dfrac{\sqrt[3]{5}}{\sqrt[3]{5}}$ and simplify if possible: $...=\dfrac{\sqrt[3]{25}}{\sqrt[3]{2}}\cdot\dfrac{\sqrt[3]{5}}{\sqrt[3]{5}}=\dfrac{\sqrt[3]{125}}{\sqrt[3]{10}}=\dfrac{5}{\sqrt[3]{10}}$