8.43. Compare the numbers $\sqrt[3]{60}$ and $2+\sqrt[3]{7}$.

## 8.9. Hölder and Minkowski Inequalities
8.43. Apply the inequality from problem 8.42 for \( n=3, a=\sqrt[3]{8} \) and \( b=\sqrt[3]{7} \). As a result, we get \(\frac{\sqrt[3]{8}+\sqrt[3]{7}}{2}<\sqrt[3]{\frac{7+8}{2}}\), i.e., \(2+\sqrt[3]{7}<\sqrt[3]{60}\).