Cube Root of 47
Cube Root Calculator
What is the cube root of 47?
Answer
∛47 ≈
3.6088
Real cube root: the only number whose cube is 47.
≈ — rounded to 4 decimal places. 47 is not the cube of a rational number, so ∛47 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 47 is a prime number: no triple of equal factors.
- Between cubes
- 3³ = 27 < 47 < 64 = 4³, so 3 < ∛47 < 4 and ∛47 ≈ 3.6088
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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 47?
∛47 ≈ 3.6088
Can ∛47 be simplified?
No: no prime appears three times in 47, so its only cube factor is 1 and ∛47 is already in simplest form. Since 3³ = 27 < 47 < 64 = 4³, ∛47 lies between 3 and 4: ∛47 ≈ 3.6088.
Is ∛47 a rational number?
No: 47 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 ∛47 is irrational; its decimal never ends and never repeats: ∛47 ≈ 3.6088.
See Also
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- Cube Root of 39 (∛39): Exact Value and Decimal
- Cube Root of 40 (∛40): Exact Value and Decimal
- Cube Root of 41 (∛41): Exact Value and Decimal
- 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 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
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