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What is the cube root of 1,332?

Answer

∛1,332 ≈
11.0028

Real cube root: the only number whose cube is 1,332.

≈ — rounded to 4 decimal places. 1,332 is not the cube of a rational number, so ∛1,332 is irrational: its decimal expansion never ends and never repeats.

Prime factors
1,332 = 2 × 2 × 3 × 3 × 37 = 2² × 3² × 37
Take out of the root
No prime appears three times, so ∛1,332 is already in simplest form.
Between cubes
11³ = 1,331 < 1,332 < 1,728 = 12³, so 11 < ∛1,332 < 12 and ∛1,332 ≈ 11.0028

See Also

FAQ

What is the cube root of 1,332?

∛1,332 ≈ 11.0028

Can ∛1,332 be simplified?

No: no prime appears three times in 1,332, so its only cube factor is 1 and ∛1,332 is already in simplest form. Since 11³ = 1,331 < 1,332 < 1,728 = 12³, ∛1,332 lies between 11 and 12: ∛1,332 ≈ 11.0028.

Is ∛1,332 a rational number?

No: 1,332 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 ∛1,332 is irrational; its decimal never ends and never repeats: ∛1,332 ≈ 11.0028.