Cube Root of 233
Cube Root Calculator
What is the cube root of 233?
Answer
∛233 ≈
6.1534
Real cube root: the only number whose cube is 233.
≈ — rounded to 4 decimal places. 233 is not the cube of a rational number, so ∛233 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 233 is a prime number: no triple of equal factors.
- Between cubes
- 6³ = 216 < 233 < 343 = 7³, so 6 < ∛233 < 7 and ∛233 ≈ 6.1534
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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
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- 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 233?
∛233 ≈ 6.1534
Can ∛233 be simplified?
No: no prime appears three times in 233, so its only cube factor is 1 and ∛233 is already in simplest form. Since 6³ = 216 < 233 < 343 = 7³, ∛233 lies between 6 and 7: ∛233 ≈ 6.1534.
Is ∛233 a rational number?
No: 233 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 ∛233 is irrational; its decimal never ends and never repeats: ∛233 ≈ 6.1534.
See Also
- Cube Root of 216 (∛216): Exact Value and Decimal
- Cube Root of 216/343 (∛(216/343)): Exact Value and Decimal
- Cube Root of 217 (∛217): Exact Value and Decimal
- Cube Root of 220 (∛220): Exact Value and Decimal
- Cube Root of 222 (∛222): Exact Value and Decimal
- Cube Root of 223 (∛223): Exact Value and Decimal
- Cube Root of 225 (∛225): Exact Value and Decimal
- Cube Root of 228 (∛228): Exact Value and Decimal
- Cube Root of 230 (∛230): Exact Value and Decimal
- Cube Root of 231 (∛231): Exact Value and Decimal
- Cube Root of 238 (∛238): Exact Value and Decimal
- 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
- Кубический корень из 233 (∛233): точное значение
- Raíz cúbica de 233 (∛233): valor exacto y decimal
- Raiz cúbica de 233 (∛233): valor exato e decimal