Cube Root of 4096
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What is the cube root of 4,096?
Answer
∛4,096 =
16
Real cube root: the only number whose cube is 4,096.
- Prime factors
- 4,096 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) = 2¹²
- Take out of the root
- ∛4,096 = ∛((2³)⁴) = 2⁴ = 16
- Check
- 16 × 16 × 16 = 4,096 ✓
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