When you take the square root of a positive integer, how many possible answers are there? When you take the cube root of a positive or negative integer, how many possible answers are there?

When you take the square root of a positive integer, there are two possible answers. Square root is the number you multiply by itself to get your number. If you're multiplying something by itself, it will either be a negative times a negative or a positive times a positive. Therefore you must consider both the positive and negative answers.

When you take the cubed root of an integer, there is 1 possible answer. The cubed root is the number you multiply 3 times to get your number (ex: the cubed root of 8 is 2, because 2*2*2 = 8). Since you are multiplying 3 numbers, you could have:

positive * positive * positive = positive

negative * negative * negative = negative

These options don't give you the same sign, so only one of them is correct.