16Hit1600
Advanced MathEasy–MediumCube root of a negative number

Advanced Math practice question

If x³ = −8, what is the value of x?

Answer: -2 or −2

(−2)³ = −2 × −2 × −2 = −8, so x = −2. A cube of a negative number is negative, and there is exactly one real cube root.

Common wrong answers

If you answered 2
2³ = 8, not −8. The cube root of a negative number is negative.
If you answered -4
−4 is −8/2, halving instead of taking the cube root.
If you answered -512
−512 is (−8)³, cubing again instead of taking the root.

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