Cube Root of 89
Cube Root Calculator
What is the cube root of 89?
Answer
∛89 ≈
4.4647
Real cube root: the only number whose cube is 89.
≈ — rounded to 4 decimal places. 89 is not the cube of a rational number, so ∛89 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 89 is a prime number: no triple of equal factors.
- Between cubes
- 4³ = 64 < 89 < 125 = 5³, so 4 < ∛89 < 5 and ∛89 ≈ 4.4647
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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
- 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 89?
∛89 ≈ 4.4647
Can ∛89 be simplified?
No: no prime appears three times in 89, so its only cube factor is 1 and ∛89 is already in simplest form. Since 4³ = 64 < 89 < 125 = 5³, ∛89 lies between 4 and 5: ∛89 ≈ 4.4647.
Is ∛89 a rational number?
No: 89 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 ∛89 is irrational; its decimal never ends and never repeats: ∛89 ≈ 4.4647.
See Also
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