Cube Root of 24
Cube Root Calculator
What is the cube root of 24?
Answer
∛24 =
2∛3 ≈ 2.8845
Real cube root: the only number whose cube is 24.
≈ — rounded to 4 decimal places. 24 is not the cube of a rational number, so ∛24 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 24 = (2 × 2 × 2) × 3 = 2³ × 3
- Take out of the root
- ∛24 = ∛(2³ × 3) = 2∛3
- Between cubes
- 2³ = 8 < 24 < 27 = 3³, so 2 < ∛24 < 3 and ∛24 ≈ 2.8845
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- 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
FAQ
What is the cube root of 24?
∛24 = 2∛3 ≈ 2.8845
How to simplify ∛24?
Factor 24 into primes: 24 = 2 × 2 × 2 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛24 = ∛(2³ × 3) = 2∛3.
Is ∛24 a rational number?
No: 24 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 ∛24 is irrational; its decimal never ends and never repeats: ∛24 ≈ 2.8845.
See Also
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