## Intermediate Algebra: Connecting Concepts through Application

Frank was wrong because he added the radicands as well as the indices of the radicals. The correct answer is $52x\sqrt[3]{xy}$.
Frank was wrong because he added the radicands as well as the indices of the radicals. The correct solution and answer is: $10x\sqrt[3]{xy}+42x\sqrt[3]{xy} \\=(10x+42x)\sqrt[3]{xy} \\=52x\sqrt[3]{xy}$