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Can a negative number have a cube root give an example to support your explanation

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Yes, it does not matter if it is negative all the numbers have a square root even if the square root of 0 is 0 because 0 by 0 is 0 the same with the negative numbers example square root of -25 is -5 because -5 by - 5 is -25. (all numbers have a square root)

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