Cube Root of 182
Cube Root Calculator
What is the cube root of 182?
Answer
∛182 ≈
5.6671
Real cube root: the only number whose cube is 182.
≈ — rounded to 4 decimal places. 182 is not the cube of a rational number, so ∛182 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 182 = 2 × 7 × 13
- Take out of the root
- No prime appears three times, so ∛182 is already in simplest form.
- Between cubes
- 5³ = 125 < 182 < 216 = 6³, so 5 < ∛182 < 6 and ∛182 ≈ 5.6671
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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 182?
∛182 ≈ 5.6671
Can ∛182 be simplified?
No: no prime appears three times in 182, so its only cube factor is 1 and ∛182 is already in simplest form. Since 5³ = 125 < 182 < 216 = 6³, ∛182 lies between 5 and 6: ∛182 ≈ 5.6671.
Is ∛182 a rational number?
No: 182 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 ∛182 is irrational; its decimal never ends and never repeats: ∛182 ≈ 5.6671.
See Also
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