Cube Root of 242
Cube Root Calculator
What is the cube root of 242?
Answer
∛242 ≈
6.2317
Real cube root: the only number whose cube is 242.
≈ — rounded to 4 decimal places. 242 is not the cube of a rational number, so ∛242 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 242 = 2 × 11 × 11 = 2 × 11²
- Take out of the root
- No prime appears three times, so ∛242 is already in simplest form.
- Between cubes
- 6³ = 216 < 242 < 343 = 7³, so 6 < ∛242 < 7 and ∛242 ≈ 6.2317
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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 242?
∛242 ≈ 6.2317
Can ∛242 be simplified?
No: no prime appears three times in 242, so its only cube factor is 1 and ∛242 is already in simplest form. Since 6³ = 216 < 242 < 343 = 7³, ∛242 lies between 6 and 7: ∛242 ≈ 6.2317.
Is ∛242 a rational number?
No: 242 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 ∛242 is irrational; its decimal never ends and never repeats: ∛242 ≈ 6.2317.
See Also
- 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 233 (∛233): 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 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
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- Cube Root of 258 (∛258): Exact Value and Decimal
- Cube Root of 276 (∛276): Exact Value and Decimal
- Кубический корень из 242 (∛242): точное значение
- Raíz cúbica de 242 (∛242): valor exacto y decimal
- Raiz cúbica de 242 (∛242): valor exato e decimal