Cube Root of 132

Cube Root Calculator
Cube root of

What is the cube root of 132?

Answer

∛132 ≈
5.0916

Real cube root: the only number whose cube is 132.

≈ — rounded to 4 decimal places. 132 is not the cube of a rational number, so ∛132 is irrational: its decimal expansion never ends and never repeats.

Prime factors
132 = 2 × 2 × 3 × 11 = 2² × 3 × 11
Take out of the root
No prime appears three times, so ∛132 is already in simplest form.
Between cubes
5³ = 125 < 132 < 216 = 6³, so 5 < ∛132 < 6 and ∛132 ≈ 5.0916

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1284∛2 ≈ 5.0397
129≈ 5.0528
131≈ 5.0788
132≈ 5.0916
1353∛5 ≈ 5.1299
1362∛17 ≈ 5.1426
137≈ 5.1551

FAQ

What is the cube root of 132?

∛132 ≈ 5.0916

Can ∛132 be simplified?

No: no prime appears three times in 132, so its only cube factor is 1 and ∛132 is already in simplest form. Since 5³ = 125 < 132 < 216 = 6³, ∛132 lies between 5 and 6: ∛132 ≈ 5.0916.

Is ∛132 a rational number?

No: 132 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 ∛132 is irrational; its decimal never ends and never repeats: ∛132 ≈ 5.0916.

See Also