Cube Root of 22

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Cube root of

What is the cube root of 22?

Answer

∛22 ≈
2.802

Real cube root: the only number whose cube is 22.

≈ — rounded to 4 decimal places. 22 is not the cube of a rational number, so ∛22 is irrational: its decimal expansion never ends and never repeats.

Prime factors
22 = 2 × 11
Take out of the root
No prime appears three times, so ∛22 is already in simplest form.
Between cubes
2³ = 8 < 22 < 27 = 3³, so 2 < ∛22 < 3 and ∛22 ≈ 2.802

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
20≈ 2.7144
20.25≈ 2.7257
21≈ 2.7589
22≈ 2.802
23≈ 2.8439
242∛3 ≈ 2.8845
25≈ 2.924

FAQ

What is the cube root of 22?

∛22 ≈ 2.802

Can ∛22 be simplified?

No: no prime appears three times in 22, so its only cube factor is 1 and ∛22 is already in simplest form. Since 2³ = 8 < 22 < 27 = 3³, ∛22 lies between 2 and 3: ∛22 ≈ 2.802.

Is ∛22 a rational number?

No: 22 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 ∛22 is irrational; its decimal never ends and never repeats: ∛22 ≈ 2.802.

See Also