Cube Root of 230

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Cube root of

What is the cube root of 230?

Answer

∛230 ≈
6.1269

Real cube root: the only number whose cube is 230.

≈ — rounded to 4 decimal places. 230 is not the cube of a rational number, so ∛230 is irrational: its decimal expansion never ends and never repeats.

Prime factors
230 = 2 × 5 × 23
Take out of the root
No prime appears three times, so ∛230 is already in simplest form.
Between cubes
6³ = 216 < 230 < 343 = 7³, so 6 < ∛230 < 7 and ∛230 ≈ 6.1269

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
223≈ 6.0641
225≈ 6.0822
228≈ 6.1091
230≈ 6.1269
231≈ 6.1358
233≈ 6.1534
238≈ 6.1972

FAQ

What is the cube root of 230?

∛230 ≈ 6.1269

Can ∛230 be simplified?

No: no prime appears three times in 230, so its only cube factor is 1 and ∛230 is already in simplest form. Since 6³ = 216 < 230 < 343 = 7³, ∛230 lies between 6 and 7: ∛230 ≈ 6.1269.

Is ∛230 a rational number?

No: 230 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 ∛230 is irrational; its decimal never ends and never repeats: ∛230 ≈ 6.1269.

See Also