Cube Root of −1728
Cube Root Calculator
What is the cube root of −1,728?
Answer
∛(−1,728) =
−12
Real cube root: the only number whose cube is −1,728.
A negative number has a negative cube root: (−12)³ = −1,728. There is no real square root of −1,728.
- Sign
- ∛(−1,728) = −∛1,728, because (−a)³ = −a³
- Prime factors
- 1,728 = (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) = 2⁶ × 3³
- Take out of the root
- ∛1,728 = ∛((2³)² × 3³) = 2² × 3 = 12
- Check
- 12 × 12 × 12 = 1,728 ✓
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See Also
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Prime Factorization - Prime Factorization Calculator
- Scientific Calculator with Memory & History - Free Engineering Calculator Online with Memory Function, Operation History, Logarithms & Trigonometry. Similar to ti-83, ti-84, ti-89
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