Cube Root of 223

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Cube root of

What is the cube root of 223?

Answer

∛223 ≈
6.0641

Real cube root: the only number whose cube is 223.

≈ — rounded to 4 decimal places. 223 is not the cube of a rational number, so ∛223 is irrational: its decimal expansion never ends and never repeats.

Prime factors
223 is a prime number: no triple of equal factors.
Between cubes
6³ = 216 < 223 < 343 = 7³, so 6 < ∛223 < 7 and ∛223 ≈ 6.0641

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See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
217≈ 6.0092
220≈ 6.0368
222≈ 6.055
223≈ 6.0641
225≈ 6.0822
228≈ 6.1091
230≈ 6.1269

FAQ

What is the cube root of 223?

∛223 ≈ 6.0641

Can ∛223 be simplified?

No: no prime appears three times in 223, so its only cube factor is 1 and ∛223 is already in simplest form. Since 6³ = 216 < 223 < 343 = 7³, ∛223 lies between 6 and 7: ∛223 ≈ 6.0641.

Is ∛223 a rational number?

No: 223 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 ∛223 is irrational; its decimal never ends and never repeats: ∛223 ≈ 6.0641.

See Also