Cube Root of 36

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Cube root of

What is the cube root of 36?

Answer

∛36 ≈
3.3019

Real cube root: the only number whose cube is 36.

≈ — rounded to 4 decimal places. 36 is not the cube of a rational number, so ∛36 is irrational: its decimal expansion never ends and never repeats.

Prime factors
36 = 2 × 2 × 3 × 3 = 2² × 3²
Take out of the root
No prime appears three times, so ∛36 is already in simplest form.
Between cubes
3³ = 27 < 36 < 64 = 4³, so 3 < ∛36 < 4 and ∛36 ≈ 3.3019

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
33≈ 3.2075
34≈ 3.2396
35≈ 3.2711
36≈ 3.3019
37≈ 3.3322
38≈ 3.362
39≈ 3.3912

FAQ

What is the cube root of 36?

∛36 ≈ 3.3019

Can ∛36 be simplified?

No: no prime appears three times in 36, so its only cube factor is 1 and ∛36 is already in simplest form. Since 3³ = 27 < 36 < 64 = 4³, ∛36 lies between 3 and 4: ∛36 ≈ 3.3019.

Is ∛36 a rational number?

No: 36 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 ∛36 is irrational; its decimal never ends and never repeats: ∛36 ≈ 3.3019.

See Also