Cube Root of 197
Cube Root Calculator
What is the cube root of 197?
Answer
∛197 ≈
5.8186
Real cube root: the only number whose cube is 197.
≈ — rounded to 4 decimal places. 197 is not the cube of a rational number, so ∛197 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 197 is a prime number: no triple of equal factors.
- Between cubes
- 5³ = 125 < 197 < 216 = 6³, so 5 < ∛197 < 6 and ∛197 ≈ 5.8186
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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 197?
∛197 ≈ 5.8186
Can ∛197 be simplified?
No: no prime appears three times in 197, so its only cube factor is 1 and ∛197 is already in simplest form. Since 5³ = 125 < 197 < 216 = 6³, ∛197 lies between 5 and 6: ∛197 ≈ 5.8186.
Is ∛197 a rational number?
No: 197 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 ∛197 is irrational; its decimal never ends and never repeats: ∛197 ≈ 5.8186.
See Also
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