Cube Root of 82
Cube Root Calculator
What is the cube root of 82?
Answer
∛82 ≈
4.3445
Real cube root: the only number whose cube is 82.
≈ — rounded to 4 decimal places. 82 is not the cube of a rational number, so ∛82 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 82 = 2 × 41
- Take out of the root
- No prime appears three times, so ∛82 is already in simplest form.
- Between cubes
- 4³ = 64 < 82 < 125 = 5³, so 4 < ∛82 < 5 and ∛82 ≈ 4.3445
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- 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
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- 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 82?
∛82 ≈ 4.3445
Can ∛82 be simplified?
No: no prime appears three times in 82, so its only cube factor is 1 and ∛82 is already in simplest form. Since 4³ = 64 < 82 < 125 = 5³, ∛82 lies between 4 and 5: ∛82 ≈ 4.3445.
Is ∛82 a rational number?
No: 82 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 ∛82 is irrational; its decimal never ends and never repeats: ∛82 ≈ 4.3445.
See Also
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