Cube Root of 3/125
Cube Root Calculator
What is the cube root of 3/125?
Answer
∛(3/125) =
∛3/5 ≈ 0.2884
Real cube root: the only number whose cube is 3/125.
≈ — rounded to 4 decimal places. 3/125 is not the cube of a rational number, so ∛(3/125) is irrational: its decimal expansion never ends and never repeats.
- Root of a fraction
- ∛(3/125) = ∛3/∛125 = ∛3/5 ≈ 0.2884
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
| N | ∛N |
|---|---|
| 1/64 | 1/4 = 0.25 |
| 0.02 | ≈ 0.2714 |
| 8/343 | 2/7 ≈ 0.2857 |
| 3/125 | ∛3/5 ≈ 0.2884 |
| 0.025 | ≈ 0.2924 |
| 0.027 | 0.3 |
| 27/1000 | 3/10 = 0.3 |
FAQ
What is the cube root of 3/125?
∛(3/125) = ∛3/5 ≈ 0.2884
Why is ∛(3/125) = ∛3/5?
The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(3/125) = ∛3/∛125 = ∛3/5, because 5³ = 125.
Is ∛(3/125) a rational number?
No: 3/125 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 ∛(3/125) is irrational; its decimal never ends and never repeats: ∛(3/125) ≈ 0.2884.
See Also
- Cube Root of 2.7 (∛2.7): Exact Value and Decimal
- Cube Root of 2.8 (∛2.8): Exact Value and Decimal
- Cube Root of 2.25 (∛2.25): Exact Value and Decimal
- Cube Root of 2.197 (∛2.197): Exact Value and Decimal
- Cube Root of 2.744 (∛2.744): Exact Value and Decimal
- Cube Root of 3 (∛3): Exact Value and Decimal
- Cube Root of 3/2 (∛(3/2)): Exact Value and Decimal
- Cube Root of 3/4 (∛(3/4)): Exact Value and Decimal
- Cube Root of 3/5 (∛(3/5)): Exact Value and Decimal
- Cube Root of 3/8 (∛(3/8)): Exact Value and Decimal
- Cube Root of 3.375 (∛3.375): Exact Value and Decimal
- Cube Root of 4 (∛4): Exact Value and Decimal
- Cube Root of 4/3 (∛(4/3)): Exact Value and Decimal
- Cube Root of 4/5 (∛(4/5)): Exact Value and Decimal
- Cube Root of 4.096 (∛4.096): Exact Value and Decimal
- Cube Root of 4.5 (∛4.5): Exact Value and Decimal
- Cube Root of 4.913 (∛4.913): Exact Value and Decimal
- Cube Root of 5 (∛5): Exact Value and Decimal
- Cube Root of 5/2 (∛(5/2)): Exact Value and Decimal
- Cube Root of 5/3 (∛(5/3)): Exact Value and Decimal
- Кубический корень из 3/125 (∛(3/125)): точное значение
- Raíz cúbica de 3/125 (∛(3/125)): valor exacto y decimal
- Raiz cúbica de 3/125 (∛(3/125)): valor exato e decimal