Cube Root of 83
Cube Root Calculator
What is the cube root of 83?
Answer
∛83 ≈
4.3621
Real cube root: the only number whose cube is 83.
≈ — rounded to 4 decimal places. 83 is not the cube of a rational number, so ∛83 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 83 is a prime number: no triple of equal factors.
- Between cubes
- 4³ = 64 < 83 < 125 = 5³, so 4 < ∛83 < 5 and ∛83 ≈ 4.3621
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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 83?
∛83 ≈ 4.3621
Can ∛83 be simplified?
No: no prime appears three times in 83, so its only cube factor is 1 and ∛83 is already in simplest form. Since 4³ = 64 < 83 < 125 = 5³, ∛83 lies between 4 and 5: ∛83 ≈ 4.3621.
Is ∛83 a rational number?
No: 83 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 ∛83 is irrational; its decimal never ends and never repeats: ∛83 ≈ 4.3621.
See Also
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