QuestionDecember 12, 2025

13.Multiply (sqrt [3](-120))(sqrt [3](225)) -30

13.Multiply (sqrt [3](-120))(sqrt [3](225)) -30
13.Multiply (sqrt [3](-120))(sqrt [3](225))
-30

Solution
4.7(238 votes)

Answer

-30 Explanation 1. Express each term as cube roots \sqrt[3]{-120} \times \sqrt[3]{225} = \sqrt[3]{(-120) \times 225} 2. Multiply inside the cube root (-120) \times 225 = -27,000 3. Simplify the cube root \sqrt[3]{-27,000} = -\sqrt[3]{27,000} 4. Find the cube root of 27,000 27,000 = 27 \times 1,000 = 3^3 \times 10^3, so \sqrt[3]{27,000} = 3 \times 10 = 30

Explanation

1. Express each term as cube roots<br /> $\sqrt[3]{-120} \times \sqrt[3]{225} = \sqrt[3]{(-120) \times 225}$<br />2. Multiply inside the cube root<br /> $(-120) \times 225 = -27,000$<br />3. Simplify the cube root<br /> $\sqrt[3]{-27,000} = -\sqrt[3]{27,000}$<br />4. Find the cube root of $27,000$<br /> $27,000 = 27 \times 1,000 = 3^3 \times 10^3$, so $\sqrt[3]{27,000} = 3 \times 10 = 30$
Click to rate: