Cube Root of 5382
Cube Root Calculator
What is the cube root of 5,382?
Answer
∛5,382 ≈
17.5246
Real cube root: the only number whose cube is 5,382.
≈ — rounded to 4 decimal places. 5,382 is not the cube of a rational number, so ∛5,382 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 5,382 = 2 × 3 × 3 × 13 × 23 = 2 × 3² × 13 × 23
- Take out of the root
- No prime appears three times, so ∛5,382 is already in simplest form.
- Between cubes
- 17³ = 4,913 < 5,382 < 5,832 = 18³, so 17 < ∛5,382 < 18 and ∛5,382 ≈ 17.5246
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 5,382?
∛5,382 ≈ 17.5246
Can ∛5,382 be simplified?
No: no prime appears three times in 5,382, so its only cube factor is 1 and ∛5,382 is already in simplest form. Since 17³ = 4,913 < 5,382 < 5,832 = 18³, ∛5,382 lies between 17 and 18: ∛5,382 ≈ 17.5246.
Is ∛5,382 a rational number?
No: 5,382 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 ∛5,382 is irrational; its decimal never ends and never repeats: ∛5,382 ≈ 17.5246.
See Also
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