Cube Root of 97
Cube Root Calculator
What is the cube root of 97?
Answer
∛97 ≈
4.5947
Real cube root: the only number whose cube is 97.
≈ — rounded to 4 decimal places. 97 is not the cube of a rational number, so ∛97 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 97 is a prime number: no triple of equal factors.
- Between cubes
- 4³ = 64 < 97 < 125 = 5³, so 4 < ∛97 < 5 and ∛97 ≈ 4.5947
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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 97?
∛97 ≈ 4.5947
Can ∛97 be simplified?
No: no prime appears three times in 97, so its only cube factor is 1 and ∛97 is already in simplest form. Since 4³ = 64 < 97 < 125 = 5³, ∛97 lies between 4 and 5: ∛97 ≈ 4.5947.
Is ∛97 a rational number?
No: 97 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 ∛97 is irrational; its decimal never ends and never repeats: ∛97 ≈ 4.5947.
See Also
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