Cube Root of 217
Cube Root Calculator
What is the cube root of 217?
Answer
∛217 ≈
6.0092
Real cube root: the only number whose cube is 217.
≈ — rounded to 4 decimal places. 217 is not the cube of a rational number, so ∛217 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 217 = 7 × 31
- Take out of the root
- No prime appears three times, so ∛217 is already in simplest form.
- Between cubes
- 6³ = 216 < 217 < 343 = 7³, so 6 < ∛217 < 7 and ∛217 ≈ 6.0092
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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
- 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 217?
∛217 ≈ 6.0092
Can ∛217 be simplified?
No: no prime appears three times in 217, so its only cube factor is 1 and ∛217 is already in simplest form. Since 6³ = 216 < 217 < 343 = 7³, ∛217 lies between 6 and 7: ∛217 ≈ 6.0092.
Is ∛217 a rational number?
No: 217 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 ∛217 is irrational; its decimal never ends and never repeats: ∛217 ≈ 6.0092.
See Also
- Cube Root of 192 (∛192): Exact Value and Decimal
- Cube Root of 196 (∛196): Exact Value and Decimal
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- Cube Root of 200 (∛200): Exact Value and Decimal
- Cube Root of 201 (∛201): Exact Value and Decimal
- Cube Root of 207 (∛207): Exact Value and Decimal
- Cube Root of 208 (∛208): Exact Value and Decimal
- Cube Root of 213 (∛213): Exact Value and Decimal
- Cube Root of 216 (∛216): Exact Value and Decimal
- Cube Root of 216/343 (∛(216/343)): 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
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- Кубический корень из 217 (∛217): точное значение
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- Raiz cúbica de 217 (∛217): valor exato e decimal