Cube Root of 71
Cube Root Calculator
What is the cube root of 71?
Answer
∛71 ≈
4.1408
Real cube root: the only number whose cube is 71.
≈ — rounded to 4 decimal places. 71 is not the cube of a rational number, so ∛71 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 71 is a prime number: no triple of equal factors.
- Between cubes
- 4³ = 64 < 71 < 125 = 5³, so 4 < ∛71 < 5 and ∛71 ≈ 4.1408
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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 71?
∛71 ≈ 4.1408
Can ∛71 be simplified?
No: no prime appears three times in 71, so its only cube factor is 1 and ∛71 is already in simplest form. Since 4³ = 64 < 71 < 125 = 5³, ∛71 lies between 4 and 5: ∛71 ≈ 4.1408.
Is ∛71 a rational number?
No: 71 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 ∛71 is irrational; its decimal never ends and never repeats: ∛71 ≈ 4.1408.
See Also
- Cube Root of 64 (∛64): Exact Value and Decimal
- Cube Root of 64/125 (∛(64/125)): Exact Value and Decimal
- Cube Root of 64/343 (∛(64/343)): Exact Value and Decimal
- Cube Root of 64/729 (∛(64/729)): Exact Value and Decimal
- Cube Root of 65 (∛65): Exact Value and Decimal
- Cube Root of 66 (∛66): Exact Value and Decimal
- Cube Root of 67 (∛67): Exact Value and Decimal
- Cube Root of 68 (∛68): Exact Value and Decimal
- Cube Root of 69 (∛69): Exact Value and Decimal
- Cube Root of 70 (∛70): Exact Value and Decimal
- Cube Root of 72 (∛72): Exact Value and Decimal
- Cube Root of 73 (∛73): Exact Value and Decimal
- Cube Root of 74 (∛74): Exact Value and Decimal
- Cube Root of 75 (∛75): Exact Value and Decimal
- Cube Root of 76 (∛76): Exact Value and Decimal
- Cube Root of 77 (∛77): Exact Value and Decimal
- Cube Root of 78 (∛78): Exact Value and Decimal
- Cube Root of 79 (∛79): Exact Value and Decimal
- Cube Root of 80 (∛80): Exact Value and Decimal
- Cube Root of 81 (∛81): Exact Value and Decimal
- Кубический корень из 71 (∛71): точное значение
- Raíz cúbica de 71 (∛71): valor exacto y decimal
- Raiz cúbica de 71 (∛71): valor exato e decimal