Cube Root of 100

Cube Root Calculator
Cube root of

What is the cube root of 100?

Answer

∛100 ≈
4.6416

Real cube root: the only number whose cube is 100.

≈ — rounded to 4 decimal places. 100 is not the cube of a rational number, so ∛100 is irrational: its decimal expansion never ends and never repeats.

Prime factors
100 = 2 × 2 × 5 × 5 = 2² × 5²
Take out of the root
No prime appears three times, so ∛100 is already in simplest form.
Between cubes
4³ = 64 < 100 < 125 = 5³, so 4 < ∛100 < 5 and ∛100 ≈ 4.6416

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
97≈ 4.5947
98≈ 4.6104
99≈ 4.6261
100≈ 4.6416
102≈ 4.6723
103≈ 4.6875
107≈ 4.7475

FAQ

What is the cube root of 100?

∛100 ≈ 4.6416

Can ∛100 be simplified?

No: no prime appears three times in 100, so its only cube factor is 1 and ∛100 is already in simplest form. Since 4³ = 64 < 100 < 125 = 5³, ∛100 lies between 4 and 5: ∛100 ≈ 4.6416.

Is ∛100 a rational number?

No: 100 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 ∛100 is irrational; its decimal never ends and never repeats: ∛100 ≈ 4.6416.

See Also