Cube Root of 257
Cube Root Calculator
What is the cube root of 257?
Answer
∛257 ≈
6.3579
Real cube root: the only number whose cube is 257.
≈ — rounded to 4 decimal places. 257 is not the cube of a rational number, so ∛257 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 257 is a prime number: no triple of equal factors.
- Between cubes
- 6³ = 216 < 257 < 343 = 7³, so 6 < ∛257 < 7 and ∛257 ≈ 6.3579
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 257?
∛257 ≈ 6.3579
Can ∛257 be simplified?
No: no prime appears three times in 257, so its only cube factor is 1 and ∛257 is already in simplest form. Since 6³ = 216 < 257 < 343 = 7³, ∛257 lies between 6 and 7: ∛257 ≈ 6.3579.
Is ∛257 a rational number?
No: 257 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 ∛257 is irrational; its decimal never ends and never repeats: ∛257 ≈ 6.3579.
See Also
- Cube Root of 239 (∛239): Exact Value and Decimal
- Cube Root of 240 (∛240): Exact Value and Decimal
- Cube Root of 242 (∛242): Exact Value and Decimal
- Cube Root of 243 (∛243): Exact Value and Decimal
- Cube Root of 245 (∛245): Exact Value and Decimal
- Cube Root of 247 (∛247): Exact Value and Decimal
- Cube Root of 248 (∛248): Exact Value and Decimal
- Cube Root of 250 (∛250): Exact Value and Decimal
- Cube Root of 255 (∛255): Exact Value and Decimal
- Cube Root of 256 (∛256): Exact Value and Decimal
- Cube Root of 258 (∛258): Exact Value and Decimal
- Cube Root of 276 (∛276): Exact Value and Decimal
- Cube Root of 279 (∛279): Exact Value and Decimal
- Cube Root of 280 (∛280): Exact Value and Decimal
- Cube Root of 285 (∛285): Exact Value and Decimal
- Cube Root of 288 (∛288): Exact Value and Decimal
- Cube Root of 289 (∛289): Exact Value and Decimal
- Cube Root of 290 (∛290): Exact Value and Decimal
- Cube Root of 292 (∛292): Exact Value and Decimal
- Cube Root of 296 (∛296): Exact Value and Decimal
- Кубический корень из 257 (∛257): точное значение
- Raíz cúbica de 257 (∛257): valor exacto y decimal
- Raiz cúbica de 257 (∛257): valor exato e decimal