Cube Root of 11025

Cube Root Calculator
Cube root of

What is the cube root of 11,025?

Answer

∛11,025 ≈
22.2566

Real cube root: the only number whose cube is 11,025.

≈ — rounded to 4 decimal places. 11,025 is not the cube of a rational number, so ∛11,025 is irrational: its decimal expansion never ends and never repeats.

Prime factors
11,025 = 3 × 3 × 5 × 5 × 7 × 7 = 3² × 5² × 7²
Take out of the root
No prime appears three times, so ∛11,025 is already in simplest form.
Between cubes
22³ = 10,648 < 11,025 < 12,167 = 23³, so 22 < ∛11,025 < 23 and ∛11,025 ≈ 22.2566

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
10,00010∛10 ≈ 21.5443
10,36812∛6 ≈ 21.8054
10,64822
11,025≈ 22.2566
12,16723
12,8008∛25 ≈ 23.3921
13,82424

FAQ

What is the cube root of 11,025?

∛11,025 ≈ 22.2566

Can ∛11,025 be simplified?

No: no prime appears three times in 11,025, so its only cube factor is 1 and ∛11,025 is already in simplest form. Since 22³ = 10,648 < 11,025 < 12,167 = 23³, ∛11,025 lies between 22 and 23: ∛11,025 ≈ 22.2566.

Is ∛11,025 a rational number?

No: 11,025 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 ∛11,025 is irrational; its decimal never ends and never repeats: ∛11,025 ≈ 22.2566.

See Also