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Is the cube root of a negative number positive or negative?
The cube root of a negative number is negative
How do you find the cube of a negative number?
The cube of a negative number is negative. Negative times negative is positive, but then you have the third multiplication, and positive times negative is negative. So for example (-2)3 = -8.
Why can you cube root a negative number but you cannot square root a negative number?
When two negative or two positive numbers are multiplied together, they always result in a positive number; and when a positive and a negative number are multiplied together, they will always result in a negative number. Thus, you cannot square root a negative number because there are no real numbers that, when squared, would result in a negative number. For example: (-2)(-2) = 4 (2)(2) = 4 √4 = +/- 2 √(-4) = ? No real number, when squared, is a negative! Does not exist! The cube of a number is different, because you are multiplying three numbers together instead of just two. As a result, you can get a negative or a positive number. For example: (-2)(-2)(-2) = -8r (2)(2)(2) = 8 3√8 = 2 3√(-8) = -2
Can the cube root of a positive number ever be a negative number?
No.
Is a positive number and a negative number will always be negative?
A positive number multiplied by a negative number will always result in a negative number.
