Cube Root of −125
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What is the cube root of −125?
Answer
∛(−125) =
−5
Real cube root: the only number whose cube is −125.
A negative number has a negative cube root: (−5)³ = −125. There is no real square root of −125.
- Sign
- ∛(−125) = −∛125, because (−a)³ = −a³
- Prime factors
- 125 = (5 × 5 × 5) = 5³
- Take out of the root
- ∛125 = ∛(5³) = 5
- Check
- 5 × 5 × 5 = 125 ✓
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