Question

Cube root of the product of two negative numbers is ____.

• A. positive
• B. negative
• C. positive or negative
• D. none of these

Answer 1

Answer: (A)

The product of two negative integers, i.e. a negative number when multiplied by another negative number gives a positive number.
Then, the cube root of the resultant positive number will be positive.

E.g.: Let the two integers be $-4$ and $-2$.

Then, their quotient $(-4)\times (-2)=8$, which is positive.

Therefore, $\sqrt[3]{3(-4)\times (-2)}=\sqrt[3]{38}=2$, which is also positive.

Hence, option $A$ is correct.