Cube Root of 327
Cube Root Calculator
What is the cube root of 327?
Answer
∛327 ≈
6.8894
Real cube root: the only number whose cube is 327.
≈ — rounded to 4 decimal places. 327 is not the cube of a rational number, so ∛327 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 327 = 3 × 109
- Take out of the root
- No prime appears three times, so ∛327 is already in simplest form.
- Between cubes
- 6³ = 216 < 327 < 343 = 7³, so 6 < ∛327 < 7 and ∛327 ≈ 6.8894
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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
- 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
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FAQ
What is the cube root of 327?
∛327 ≈ 6.8894
Can ∛327 be simplified?
No: no prime appears three times in 327, so its only cube factor is 1 and ∛327 is already in simplest form. Since 6³ = 216 < 327 < 343 = 7³, ∛327 lies between 6 and 7: ∛327 ≈ 6.8894.
Is ∛327 a rational number?
No: 327 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 ∛327 is irrational; its decimal never ends and never repeats: ∛327 ≈ 6.8894.
See Also
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- Cube Root of 292 (∛292): Exact Value and Decimal
- Cube Root of 296 (∛296): Exact Value and Decimal
- Cube Root of 297 (∛297): Exact Value and Decimal
- Cube Root of 300 (∛300): Exact Value and Decimal
- Cube Root of 323 (∛323): Exact Value and Decimal
- Cube Root of 324 (∛324): Exact Value and Decimal
- Cube Root of 325 (∛325): Exact Value and Decimal
- Cube Root of 329 (∛329): Exact Value and Decimal
- Cube Root of 330 (∛330): Exact Value and Decimal
- Cube Root of 331 (∛331): Exact Value and Decimal
- Cube Root of 336 (∛336): Exact Value and Decimal
- Cube Root of 343 (∛343): Exact Value and Decimal
- Cube Root of 343/512 (∛(343/512)): Exact Value and Decimal
- Cube Root of 343/729 (∛(343/729)): Exact Value and Decimal
- Cube Root of 343/1000 (∛(343/1000)): Exact Value and Decimal
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- Кубический корень из 327 (∛327): точное значение
- Raíz cúbica de 327 (∛327): valor exacto y decimal
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