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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