Cube Root of 14
Cube Root Calculator
What is the cube root of 14?
Answer
∛14 ≈
2.4101
Real cube root: the only number whose cube is 14.
≈ — rounded to 4 decimal places. 14 is not the cube of a rational number, so ∛14 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 14 = 2 × 7
- Take out of the root
- No prime appears three times, so ∛14 is already in simplest form.
- Between cubes
- 2³ = 8 < 14 < 27 = 3³, so 2 < ∛14 < 3 and ∛14 ≈ 2.4101
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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 14?
∛14 ≈ 2.4101
Can ∛14 be simplified?
No: no prime appears three times in 14, so its only cube factor is 1 and ∛14 is already in simplest form. Since 2³ = 8 < 14 < 27 = 3³, ∛14 lies between 2 and 3: ∛14 ≈ 2.4101.
Is ∛14 a rational number?
No: 14 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 ∛14 is irrational; its decimal never ends and never repeats: ∛14 ≈ 2.4101.
See Also
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- Cube Root of 9/2 (∛(9/2)): Exact Value and Decimal
- Cube Root of 9.261 (∛9.261): Exact Value and Decimal
- Cube Root of 10 (∛10): Exact Value and Decimal
- Cube Root of 11 (∛11): Exact Value and Decimal
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