Choose the one alternative that best completes the statement or answers the question.
Multiply using the product rule.
-$\sqrt[3]{9 x y} \cdot \sqrt[3]{25 x y}$
A) $\sqrt[3]{225 x^{2} y^{2}}$
B) $\sqrt[3]{34 x^{2} y^{2}}$
C) $8 x y$
D) $15 x y$

Question

Quizplus · Accepted Answer

When multiplying roots with the same index, you can multiply the radicands directly: $\sqrt[3]{9xy} \cdot \sqrt[3]{25xy} = \sqrt[3]{9 \cdot 25 \cdot x \cdot x \cdot y \cdot y} = \sqrt[3]{225x^2y^2}$.

Choose the One Alternative That Best Completes the Statement or Answers