Cube Root of 35

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Cube root of

What is the cube root of 35?

Answer

∛35 ≈
3.2711

Real cube root: the only number whose cube is 35.

≈ — rounded to 4 decimal places. 35 is not the cube of a rational number, so ∛35 is irrational: its decimal expansion never ends and never repeats.

Prime factors
35 = 5 × 7
Take out of the root
No prime appears three times, so ∛35 is already in simplest form.
Between cubes
3³ = 27 < 35 < 64 = 4³, so 3 < ∛35 < 4 and ∛35 ≈ 3.2711

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
32.7683.2
33≈ 3.2075
34≈ 3.2396
35≈ 3.2711
36≈ 3.3019
37≈ 3.3322
38≈ 3.362

FAQ

What is the cube root of 35?

∛35 ≈ 3.2711

Can ∛35 be simplified?

No: no prime appears three times in 35, so its only cube factor is 1 and ∛35 is already in simplest form. Since 3³ = 27 < 35 < 64 = 4³, ∛35 lies between 3 and 4: ∛35 ≈ 3.2711.

Is ∛35 a rational number?

No: 35 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 ∛35 is irrational; its decimal never ends and never repeats: ∛35 ≈ 3.2711.

See Also