Cube Root of 58
Cube Root Calculator
What is the cube root of 58?
Answer
∛58 ≈
3.8709
Real cube root: the only number whose cube is 58.
≈ — rounded to 4 decimal places. 58 is not the cube of a rational number, so ∛58 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 58 = 2 × 29
- Take out of the root
- No prime appears three times, so ∛58 is already in simplest form.
- Between cubes
- 3³ = 27 < 58 < 64 = 4³, so 3 < ∛58 < 4 and ∛58 ≈ 3.8709
Related Calculations
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
Cube roots of nearby values
FAQ
What is the cube root of 58?
∛58 ≈ 3.8709
Can ∛58 be simplified?
No: no prime appears three times in 58, so its only cube factor is 1 and ∛58 is already in simplest form. Since 3³ = 27 < 58 < 64 = 4³, ∛58 lies between 3 and 4: ∛58 ≈ 3.8709.
Is ∛58 a rational number?
No: 58 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 ∛58 is irrational; its decimal never ends and never repeats: ∛58 ≈ 3.8709.
See Also
- Cube Root of 48 (∛48): Exact Value and Decimal
- Cube Root of 49 (∛49): Exact Value and Decimal
- Cube Root of 50 (∛50): Exact Value and Decimal
- Cube Root of 51 (∛51): Exact Value and Decimal
- Cube Root of 52 (∛52): Exact Value and Decimal
- 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
- Cube Root of 56 (∛56): Exact Value and Decimal
- Cube Root of 57 (∛57): Exact Value and Decimal
- Cube Root of 59 (∛59): Exact Value and Decimal
- Cube Root of 60 (∛60): Exact Value and Decimal
- Cube Root of 61 (∛61): Exact Value and Decimal
- Cube Root of 62 (∛62): Exact Value and Decimal
- Cube Root of 63 (∛63): Exact Value and Decimal
- 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
- Кубический корень из 58 (∛58): точное значение
- Raíz cúbica de 58 (∛58): valor exacto y decimal
- Raiz cúbica de 58 (∛58): valor exato e decimal