Cube Root of 17
Cube Root Calculator
What is the cube root of 17?
Answer
∛17 ≈
2.5713
Real cube root: the only number whose cube is 17.
≈ — rounded to 4 decimal places. 17 is not the cube of a rational number, so ∛17 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 17 is a prime number: no triple of equal factors.
- Between cubes
- 2³ = 8 < 17 < 27 = 3³, so 2 < ∛17 < 3 and ∛17 ≈ 2.5713
Related Calculations
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
FAQ
What is the cube root of 17?
∛17 ≈ 2.5713
Can ∛17 be simplified?
No: no prime appears three times in 17, so its only cube factor is 1 and ∛17 is already in simplest form. Since 2³ = 8 < 17 < 27 = 3³, ∛17 lies between 2 and 3: ∛17 ≈ 2.5713.
Is ∛17 a rational number?
No: 17 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 ∛17 is irrational; its decimal never ends and never repeats: ∛17 ≈ 2.5713.
See Also
- Cube Root of 9.261 (∛9.261): Exact Value and Decimal
- Cube Root of 10 (∛10): Exact Value and Decimal
- Cube Root of 11 (∛11): Exact Value and Decimal
- Cube Root of 12 (∛12): Exact Value and Decimal
- Cube Root of 12.167 (∛12.167): Exact Value and Decimal
- Cube Root of 13 (∛13): Exact Value and Decimal
- Cube Root of 14 (∛14): Exact Value and Decimal
- Cube Root of 15 (∛15): Exact Value and Decimal
- Cube Root of 15.625 (∛15.625): Exact Value and Decimal
- Cube Root of 16 (∛16): Exact Value and Decimal
- Cube Root of 17.5 (∛17.5): Exact Value and Decimal
- Cube Root of 18 (∛18): Exact Value and Decimal
- Cube Root of 19 (∛19): Exact Value and Decimal
- Cube Root of 20 (∛20): Exact Value and Decimal
- Cube Root of 20.25 (∛20.25): Exact Value and Decimal
- Cube Root of 21 (∛21): Exact Value and Decimal
- Cube Root of 22 (∛22): Exact Value and Decimal
- Cube Root of 23 (∛23): Exact Value and Decimal
- Cube Root of 24 (∛24): Exact Value and Decimal
- Cube Root of 25 (∛25): Exact Value and Decimal
- Кубический корень из 17 (∛17): точное значение
- Raíz cúbica de 17 (∛17): valor exacto y decimal
- Raiz cúbica de 17 (∛17): valor exato e decimal