Cube Root of 220

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Cube root of

What is the cube root of 220?

Answer

∛220 ≈
6.0368

Real cube root: the only number whose cube is 220.

≈ — rounded to 4 decimal places. 220 is not the cube of a rational number, so ∛220 is irrational: its decimal expansion never ends and never repeats.

Prime factors
220 = 2 × 2 × 5 × 11 = 2² × 5 × 11
Take out of the root
No prime appears three times, so ∛220 is already in simplest form.
Between cubes
6³ = 216 < 220 < 343 = 7³, so 6 < ∛220 < 7 and ∛220 ≈ 6.0368

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
213≈ 5.9721
2166
217≈ 6.0092
220≈ 6.0368
222≈ 6.055
223≈ 6.0641
225≈ 6.0822

FAQ

What is the cube root of 220?

∛220 ≈ 6.0368

Can ∛220 be simplified?

No: no prime appears three times in 220, so its only cube factor is 1 and ∛220 is already in simplest form. Since 6³ = 216 < 220 < 343 = 7³, ∛220 lies between 6 and 7: ∛220 ≈ 6.0368.

Is ∛220 a rational number?

No: 220 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 ∛220 is irrational; its decimal never ends and never repeats: ∛220 ≈ 6.0368.

See Also