Cube Root of 258
Cube Root Calculator
What is the cube root of 258?
Answer
∛258 ≈
6.3661
Real cube root: the only number whose cube is 258.
≈ — rounded to 4 decimal places. 258 is not the cube of a rational number, so ∛258 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 258 = 2 × 3 × 43
- Take out of the root
- No prime appears three times, so ∛258 is already in simplest form.
- Between cubes
- 6³ = 216 < 258 < 343 = 7³, so 6 < ∛258 < 7 and ∛258 ≈ 6.3661
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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 258?
∛258 ≈ 6.3661
Can ∛258 be simplified?
No: no prime appears three times in 258, so its only cube factor is 1 and ∛258 is already in simplest form. Since 6³ = 216 < 258 < 343 = 7³, ∛258 lies between 6 and 7: ∛258 ≈ 6.3661.
Is ∛258 a rational number?
No: 258 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 ∛258 is irrational; its decimal never ends and never repeats: ∛258 ≈ 6.3661.
See Also
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