Cube Root of 3888
Cube Root Calculator
What is the cube root of 3,888?
Answer
∛3,888 =
6∛18 ≈ 15.7244
Real cube root: the only number whose cube is 3,888.
≈ — rounded to 4 decimal places. 3,888 is not the cube of a rational number, so ∛3,888 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 3,888 = (2 × 2 × 2) × 2 × (3 × 3 × 3) × 3 × 3 = 2⁴ × 3⁵
- Take out of the root
- ∛3,888 = ∛(2³ × 3³ × 18) = 2 × 3 × ∛18 = 6∛18
- Between cubes
- 15³ = 3,375 < 3,888 < 4,096 = 16³, so 15 < ∛3,888 < 16 and ∛3,888 ≈ 15.7244
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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FAQ
What is the cube root of 3,888?
∛3,888 = 6∛18 ≈ 15.7244
How to simplify ∛3,888?
Factor 3,888 into primes: 3,888 = 2 × 2 × 2 × 2 × 3 × 3 × 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: ∛3,888 = ∛(2³ × 3³ × 18) = 6∛18.
Is ∛3,888 a rational number?
No: 3,888 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 ∛3,888 is irrational; its decimal never ends and never repeats: ∛3,888 ≈ 15.7244.
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