Cube Root of 61
Cube Root Calculator
What is the cube root of 61?
Answer
∛61 ≈
3.9365
Real cube root: the only number whose cube is 61.
≈ — rounded to 4 decimal places. 61 is not the cube of a rational number, so ∛61 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 61 is a prime number: no triple of equal factors.
- Between cubes
- 3³ = 27 < 61 < 64 = 4³, so 3 < ∛61 < 4 and ∛61 ≈ 3.9365
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- Square Root Calculator - Calculate the square root of any number
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FAQ
What is the cube root of 61?
∛61 ≈ 3.9365
Can ∛61 be simplified?
No: no prime appears three times in 61, so its only cube factor is 1 and ∛61 is already in simplest form. Since 3³ = 27 < 61 < 64 = 4³, ∛61 lies between 3 and 4: ∛61 ≈ 3.9365.
Is ∛61 a rational number?
No: 61 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 ∛61 is irrational; its decimal never ends and never repeats: ∛61 ≈ 3.9365.
See Also
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- Cube Root of 55 (∛55): Exact Value and Decimal
- Cube Root of 56 (∛56): Exact Value and Decimal
- Cube Root of 57 (∛57): Exact Value and Decimal
- Cube Root of 58 (∛58): Exact Value and Decimal
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- Cube Root of 60 (∛60): Exact Value and Decimal
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- Cube Root of 64 (∛64): Exact Value and Decimal
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