Cube Root of 8000
Cube Root Calculator
What is the cube root of 8,000?
Answer
∛8,000 =
20
Real cube root: the only number whose cube is 8,000.
- Prime factors
- 8,000 = (2 × 2 × 2) × (2 × 2 × 2) × (5 × 5 × 5) = 2⁶ × 5³
- Take out of the root
- ∛8,000 = ∛((2³)² × 5³) = 2² × 5 = 20
- Check
- 20 × 20 × 20 = 8,000 ✓
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FAQ
What is the cube root of 8,000?
∛8,000 = 20
What number cubed is 8,000?
20, because 20 × 20 × 20 = 8,000. So ∛8,000 = 20 exactly: 8,000 is a perfect cube, 20³.
Is ∛8,000 a rational number?
Yes: ∛8,000 = 20, a whole number.
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