Cube Root of 1369
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What is the cube root of 1,369?
Answer
∛1,369 ≈
11.1037
Real cube root: the only number whose cube is 1,369.
≈ — rounded to 4 decimal places. 1,369 is not the cube of a rational number, so ∛1,369 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 1,369 = 37 × 37 = 37²
- Take out of the root
- No prime appears three times, so ∛1,369 is already in simplest form.
- Between cubes
- 11³ = 1,331 < 1,369 < 1,728 = 12³, so 11 < ∛1,369 < 12 and ∛1,369 ≈ 11.1037
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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 1,369?
∛1,369 ≈ 11.1037
Can ∛1,369 be simplified?
No: no prime appears three times in 1,369, so its only cube factor is 1 and ∛1,369 is already in simplest form. Since 11³ = 1,331 < 1,369 < 1,728 = 12³, ∛1,369 lies between 11 and 12: ∛1,369 ≈ 11.1037.
Is ∛1,369 a rational number?
No: 1,369 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 ∛1,369 is irrational; its decimal never ends and never repeats: ∛1,369 ≈ 11.1037.
See Also
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