Cube Root of 51
Cube Root Calculator
What is the cube root of 51?
Answer
∛51 ≈
3.7084
Real cube root: the only number whose cube is 51.
≈ — rounded to 4 decimal places. 51 is not the cube of a rational number, so ∛51 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 51 = 3 × 17
- Take out of the root
- No prime appears three times, so ∛51 is already in simplest form.
- Between cubes
- 3³ = 27 < 51 < 64 = 4³, so 3 < ∛51 < 4 and ∛51 ≈ 3.7084
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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 51?
∛51 ≈ 3.7084
Can ∛51 be simplified?
No: no prime appears three times in 51, so its only cube factor is 1 and ∛51 is already in simplest form. Since 3³ = 27 < 51 < 64 = 4³, ∛51 lies between 3 and 4: ∛51 ≈ 3.7084.
Is ∛51 a rational number?
No: 51 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 ∛51 is irrational; its decimal never ends and never repeats: ∛51 ≈ 3.7084.
See Also
- Cube Root of 42 (∛42): Exact Value and Decimal
- Cube Root of 42.875 (∛42.875): Exact Value and Decimal
- Cube Root of 43 (∛43): Exact Value and Decimal
- Cube Root of 44 (∛44): Exact Value and Decimal
- Cube Root of 45 (∛45): Exact Value and Decimal
- Cube Root of 46 (∛46): Exact Value and Decimal
- Cube Root of 47 (∛47): Exact Value and Decimal
- 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 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 58 (∛58): 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
- Кубический корень из 51 (∛51): точное значение
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- Raiz cúbica de 51 (∛51): valor exato e decimal