Cube Root of 16
Cube Root Calculator
What is the cube root of 16?
Answer
∛16 =
2∛2 ≈ 2.5198
Real cube root: the only number whose cube is 16.
≈ — rounded to 4 decimal places. 16 is not the cube of a rational number, so ∛16 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 16 = (2 × 2 × 2) × 2 = 2⁴
- Take out of the root
- ∛16 = ∛(2³ × 2) = 2∛2
- Between cubes
- 2³ = 8 < 16 < 27 = 3³, so 2 < ∛16 < 3 and ∛16 ≈ 2.5198
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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
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- 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 16?
∛16 = 2∛2 ≈ 2.5198
How to simplify ∛16?
Factor 16 into primes: 16 = 2 × 2 × 2 × 2. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛16 = ∛(2³ × 2) = 2∛2.
Is ∛16 a rational number?
No: 16 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 ∛16 is irrational; its decimal never ends and never repeats: ∛16 ≈ 2.5198.
See Also
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