Cube Root of 222

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Cube root of

What is the cube root of 222?

Answer

∛222 ≈
6.055

Real cube root: the only number whose cube is 222.

≈ — rounded to 4 decimal places. 222 is not the cube of a rational number, so ∛222 is irrational: its decimal expansion never ends and never repeats.

Prime factors
222 = 2 × 3 × 37
Take out of the root
No prime appears three times, so ∛222 is already in simplest form.
Between cubes
6³ = 216 < 222 < 343 = 7³, so 6 < ∛222 < 7 and ∛222 ≈ 6.055

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
2166
217≈ 6.0092
220≈ 6.0368
222≈ 6.055
223≈ 6.0641
225≈ 6.0822
228≈ 6.1091

FAQ

What is the cube root of 222?

∛222 ≈ 6.055

Can ∛222 be simplified?

No: no prime appears three times in 222, so its only cube factor is 1 and ∛222 is already in simplest form. Since 6³ = 216 < 222 < 343 = 7³, ∛222 lies between 6 and 7: ∛222 ≈ 6.055.

Is ∛222 a rational number?

No: 222 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 ∛222 is irrational; its decimal never ends and never repeats: ∛222 ≈ 6.055.

See Also