Cube Root of 245
Cube Root Calculator
What is the cube root of 245?
Answer
∛245 ≈
6.2573
Real cube root: the only number whose cube is 245.
≈ — rounded to 4 decimal places. 245 is not the cube of a rational number, so ∛245 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 245 = 5 × 7 × 7 = 5 × 7²
- Take out of the root
- No prime appears three times, so ∛245 is already in simplest form.
- Between cubes
- 6³ = 216 < 245 < 343 = 7³, so 6 < ∛245 < 7 and ∛245 ≈ 6.2573
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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 245?
∛245 ≈ 6.2573
Can ∛245 be simplified?
No: no prime appears three times in 245, so its only cube factor is 1 and ∛245 is already in simplest form. Since 6³ = 216 < 245 < 343 = 7³, ∛245 lies between 6 and 7: ∛245 ≈ 6.2573.
Is ∛245 a rational number?
No: 245 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 ∛245 is irrational; its decimal never ends and never repeats: ∛245 ≈ 6.2573.
See Also
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