Question

Cube root of the quotient of two negative integers is ______.

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

Answer 1

The correct option is A positive

The quotient of two negative integers, i.e. a negative number when divided 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 $-16$ and $-2$.

Then, their quotient $\frac{-16}{-2}=8$, which is positive.

Therefore, $\sqrt[3]{3\frac{-16}{-2}}=\sqrt[3]{38}=2$, which is also positive.

Hence, option $A$ is correct.