Cube Root of 998
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What is the cube root of 998?
Answer
∛998 ≈
9.9933
Real cube root: the only number whose cube is 998.
≈ — rounded to 4 decimal places. 998 is not the cube of a rational number, so ∛998 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 998 = 2 × 499
- Take out of the root
- No prime appears three times, so ∛998 is already in simplest form.
- Between cubes
- 9³ = 729 < 998 < 1,000 = 10³, so 9 < ∛998 < 10 and ∛998 ≈ 9.9933
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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 998?
∛998 ≈ 9.9933
Can ∛998 be simplified?
No: no prime appears three times in 998, so its only cube factor is 1 and ∛998 is already in simplest form. Since 9³ = 729 < 998 < 1,000 = 10³, ∛998 lies between 9 and 10: ∛998 ≈ 9.9933.
Is ∛998 a rational number?
No: 998 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 ∛998 is irrational; its decimal never ends and never repeats: ∛998 ≈ 9.9933.
See Also
- Cube Root of 686 (∛686): Exact Value and Decimal
- Cube Root of 700 (∛700): Exact Value and Decimal
- 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
- Cube Root of 864 (∛864): Exact Value and Decimal
- Cube Root of 900 (∛900): Exact Value and Decimal
- Cube Root of 925 (∛925): Exact Value and Decimal
- Cube Root of 997 (∛997): 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
- Cube Root of 1029 (∛1029): Exact Value and Decimal
- Cube Root of 1080 (∛1080): Exact Value and Decimal
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- Cube Root of 1210 (∛1210): Exact Value and Decimal
- Кубический корень из 998 (∛998): точное значение
- Raíz cúbica de 998 (∛998): valor exacto y decimal
- Raiz cúbica de 998 (∛998): valor exato e decimal