Cube Root of 207
Cube Root Calculator
What is the cube root of 207?
Answer
∛207 ≈
5.9155
Real cube root: the only number whose cube is 207.
≈ — rounded to 4 decimal places. 207 is not the cube of a rational number, so ∛207 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 207 = 3 × 3 × 23 = 3² × 23
- Take out of the root
- No prime appears three times, so ∛207 is already in simplest form.
- Between cubes
- 5³ = 125 < 207 < 216 = 6³, so 5 < ∛207 < 6 and ∛207 ≈ 5.9155
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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 207?
∛207 ≈ 5.9155
Can ∛207 be simplified?
No: no prime appears three times in 207, so its only cube factor is 1 and ∛207 is already in simplest form. Since 5³ = 125 < 207 < 216 = 6³, ∛207 lies between 5 and 6: ∛207 ≈ 5.9155.
Is ∛207 a rational number?
No: 207 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 ∛207 is irrational; its decimal never ends and never repeats: ∛207 ≈ 5.9155.
See Also
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- Cube Root of 201 (∛201): 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
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- Кубический корень из 207 (∛207): точное значение
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- Raiz cúbica de 207 (∛207): valor exato e decimal