What is the cube root of \(-216\)?

(-6) (-6) (-6)=-216.
Therefore, the cubed root of -216 is -6.

Answered by Anonymous | 2024-06-10

The cube root of -216 is -6. This is found by identifying that 6 multiplied by itself three times is 216, and then considering the negative sign, leading to -6.
Finding the Cube Root of -216
To find the cube root of a number, we look for a value that, when multiplied by itself three times, gives the original number. In this case, we need to find the cube root of -216.
→ Express -216 in terms of its prime factors:
-216 = -1 * 6 * 6 * 6.
→ The cube root of 216 (ignoring the negative sign for now) is 6, because 6 * 6 * 6 = 216.
→ To account for the negative sign, remember that the cube root of a negative number is also negative.
→ Thus, the correct answer is -6, because (-6) * (-6) * (-6) = -216.
Therefore, the cube root of -216 is -6.

Answered by IngridBergman | 2024-06-24

The cube root of -216 is -6, because (-6) multiplied by itself three times gives -216.
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Answered by Anonymous | 2024-09-16