Cube Root of 238
Cube Root Calculator
What is the cube root of 238?
Answer
∛238 ≈
6.1972
Real cube root: the only number whose cube is 238.
≈ — rounded to 4 decimal places. 238 is not the cube of a rational number, so ∛238 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 238 = 2 × 7 × 17
- Take out of the root
- No prime appears three times, so ∛238 is already in simplest form.
- Between cubes
- 6³ = 216 < 238 < 343 = 7³, so 6 < ∛238 < 7 and ∛238 ≈ 6.1972
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- Square Root Calculator - Calculate the square root of any number
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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 238?
∛238 ≈ 6.1972
Can ∛238 be simplified?
No: no prime appears three times in 238, so its only cube factor is 1 and ∛238 is already in simplest form. Since 6³ = 216 < 238 < 343 = 7³, ∛238 lies between 6 and 7: ∛238 ≈ 6.1972.
Is ∛238 a rational number?
No: 238 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 ∛238 is irrational; its decimal never ends and never repeats: ∛238 ≈ 6.1972.
See Also
- 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
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- Cube Root of 239 (∛239): Exact Value and Decimal
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- Кубический корень из 238 (∛238): точное значение
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