Cube Root of 0.1
Cube Root Calculator
What is the cube root of 0.1?
Answer
∛0.1 ≈
0.4642
Real cube root: the only number whose cube is 0.1.
≈ — rounded to 4 decimal places. 0.1 is not the cube of a rational number, so ∛0.1 is irrational: its decimal expansion never ends and never repeats.
- Between cubes
- 0.4³ = 0.064 < 0.1 < 0.125 = 0.5³, so 0.4 < ∛0.1 < 0.5 and ∛0.1 ≈ 0.4642
See Also
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- 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 0.1?
∛0.1 ≈ 0.4642
How to find ∛0.1 without a calculator?
Bracket it between cubes: 0.4³ = 0.064 < 0.1 < 0.125 = 0.5³, so ∛0.1 lies between 0.4 and 0.5. Narrowing the bracket digit by digit gives ∛0.1 ≈ 0.4642; 0.1 is not the cube of a decimal, so the root never ends.
Is ∛0.1 a rational number?
No: 0.1 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 ∛0.1 is irrational; its decimal never ends and never repeats: ∛0.1 ≈ 0.4642.
See Also
- Cube Root of 0.001 (∛0.001): Exact Value and Decimal
- Cube Root of 0.001728 (∛0.001728): Exact Value and Decimal
- Cube Root of 0.002 (∛0.002): Exact Value and Decimal
- Cube Root of 0.008 (∛0.008): Exact Value and Decimal
- Cube Root of 0.02 (∛0.02): Exact Value and Decimal
- Cube Root of 0.025 (∛0.025): Exact Value and Decimal
- Cube Root of 0.027 (∛0.027): Exact Value and Decimal
- Cube Root of 0.04 (∛0.04): Exact Value and Decimal
- Cube Root of 0.064 (∛0.064): Exact Value and Decimal
- Cube Root of 0.08 (∛0.08): Exact Value and Decimal
- Cube Root of 0.2 (∛0.2): Exact Value and Decimal
- Cube Root of 0.3 (∛0.3): Exact Value and Decimal
- Cube Root of 0.5 (∛0.5): Exact Value and Decimal
- Cube Root of 0.8 (∛0.8): Exact Value and Decimal
- Cube Root of 0.25 (∛0.25): Exact Value and Decimal
- Cube Root of 0.36 (∛0.36): Exact Value and Decimal
- Cube Root of 0.69 (∛0.69): Exact Value and Decimal
- Cube Root of 0.125 (∛0.125): Exact Value and Decimal
- Cube Root of 0.216 (∛0.216): Exact Value and Decimal
- Cube Root of 0.343 (∛0.343): Exact Value and Decimal
- Кубический корень из 0.1 (∛0.1): точное значение
- Raíz cúbica de 0.1 (∛0.1): valor exacto y decimal
- Raiz cúbica de 0.1 (∛0.1): valor exato e decimal