Cube Root of 997
Cube Root Calculator
What is the cube root of 997?
Answer
∛997 ≈
9.99
Real cube root: the only number whose cube is 997.
≈ — rounded to 4 decimal places. 997 is not the cube of a rational number, so ∛997 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 997 is a prime number: no triple of equal factors.
- Between cubes
- 9³ = 729 < 997 < 1,000 = 10³, so 9 < ∛997 < 10 and ∛997 ≈ 9.99
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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
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FAQ
What is the cube root of 997?
∛997 ≈ 9.99
Can ∛997 be simplified?
No: no prime appears three times in 997, so its only cube factor is 1 and ∛997 is already in simplest form. Since 9³ = 729 < 997 < 1,000 = 10³, ∛997 lies between 9 and 10: ∛997 ≈ 9.99.
Is ∛997 a rational number?
No: 997 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 ∛997 is irrational; its decimal never ends and never repeats: ∛997 ≈ 9.99.
See Also
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- Cube Root of 729 (∛729): Exact Value and Decimal
- Cube Root of 729/1000 (∛(729/1000)): Exact Value and Decimal
- Cube Root of 730 (∛730): Exact Value and Decimal
- Cube Root of 768 (∛768): Exact Value and Decimal
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- Cube Root of 998 (∛998): Exact Value and Decimal
- Cube Root of 999 (∛999): Exact Value and Decimal
- Cube Root of 1000 (∛1000): Exact Value and Decimal
- Cube Root of 1001 (∛1001): Exact Value and Decimal
- Cube Root of 1024 (∛1024): Exact Value and Decimal
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- Кубический корень из 997 (∛997): точное значение
- Raíz cúbica de 997 (∛997): valor exacto y decimal
- Raiz cúbica de 997 (∛997): valor exato e decimal