True or False.

You can get a Real solution by taking the cube root of a negative.

(1 point)
Responses

True
True

False

True

False.

To determine if you can get a real solution by taking the cube root of a negative, you need to consider the properties of the cube root function. The cube root of any positive number will have a real solution because every positive number has a real cube root. However, the cube root of a negative number does not have a real solution because no negative number has a real cube root.

To understand this better, you can look at the definition of cube roots. The cube root of a number 'a' is a number 'b' such that b * b * b equals a. So, for a positive number, it is always possible to find another number that, when cubed, equals the positive number. However, for negative numbers, there is no real value that, when cubed, equals the negative number.

Therefore, the statement "You can get a real solution by taking the cube root of a negative" is false.