Cube Root of 864
Cube Root Calculator
What is the cube root of 864?
Answer
∛864 =
6∛4 ≈ 9.5244
Real cube root: the only number whose cube is 864.
≈ — rounded to 4 decimal places. 864 is not the cube of a rational number, so ∛864 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 864 = (2 × 2 × 2) × 2 × 2 × (3 × 3 × 3) = 2⁵ × 3³
- Take out of the root
- ∛864 = ∛(2³ × 3³ × 4) = 2 × 3 × ∛4 = 6∛4
- Between cubes
- 9³ = 729 < 864 < 1,000 = 10³, so 9 < ∛864 < 10 and ∛864 ≈ 9.5244
Related Calculations
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
Cube roots of nearby values
FAQ
What is the cube root of 864?
∛864 = 6∛4 ≈ 9.5244
How to simplify ∛864?
Factor 864 into primes: 864 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛864 = ∛(2³ × 3³ × 4) = 6∛4.
Is ∛864 a rational number?
No: 864 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛864 is irrational; its decimal never ends and never repeats: ∛864 ≈ 9.5244.
See Also
- Cube Root of 527 (∛527): Exact Value and Decimal
- Cube Root of 529 (∛529): Exact Value and Decimal
- Cube Root of 620 (∛620): Exact Value and Decimal
- Cube Root of 625 (∛625): Exact Value and Decimal
- Cube Root of 686 (∛686): Exact Value and Decimal
- Cube Root of 700 (∛700): Exact Value and Decimal
- Cube Root of 729 (∛729): Exact Value and Decimal
- Cube Root of 729/1000 (∛(729/1000)): Exact Value and Decimal
- Cube Root of 730 (∛730): Exact Value and Decimal
- Cube Root of 768 (∛768): Exact Value and Decimal
- Cube Root of 900 (∛900): Exact Value and Decimal
- Cube Root of 925 (∛925): Exact Value and Decimal
- Cube Root of 997 (∛997): Exact Value and Decimal
- Cube Root of 998 (∛998): Exact Value and Decimal
- Cube Root of 999 (∛999): Exact Value and Decimal
- Cube Root of 1000 (∛1000): Exact Value and Decimal
- Cube Root of 1001 (∛1001): Exact Value and Decimal
- Cube Root of 1024 (∛1024): Exact Value and Decimal
- Cube Root of 1029 (∛1029): Exact Value and Decimal
- Cube Root of 1080 (∛1080): Exact Value and Decimal
- Кубический корень из 864 (∛864): точное значение
- Raíz cúbica de 864 (∛864): valor exacto y decimal
- Raiz cúbica de 864 (∛864): valor exato e decimal