Cube Root of 57
Cube Root Calculator
What is the cube root of 57?
Answer
∛57 ≈
3.8485
Real cube root: the only number whose cube is 57.
≈ — rounded to 4 decimal places. 57 is not the cube of a rational number, so ∛57 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 57 = 3 × 19
- Take out of the root
- No prime appears three times, so ∛57 is already in simplest form.
- Between cubes
- 3³ = 27 < 57 < 64 = 4³, so 3 < ∛57 < 4 and ∛57 ≈ 3.8485
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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 57?
∛57 ≈ 3.8485
Can ∛57 be simplified?
No: no prime appears three times in 57, so its only cube factor is 1 and ∛57 is already in simplest form. Since 3³ = 27 < 57 < 64 = 4³, ∛57 lies between 3 and 4: ∛57 ≈ 3.8485.
Is ∛57 a rational number?
No: 57 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 ∛57 is irrational; its decimal never ends and never repeats: ∛57 ≈ 3.8485.
See Also
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- Cube Root of 53 (∛53): Exact Value and Decimal
- Cube Root of 54 (∛54): Exact Value and Decimal
- Cube Root of 55 (∛55): Exact Value and Decimal
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