Cube Root of 9621

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What is the cube root of 9,621?

Answer

∛9,621 ≈
21.2687

Real cube root: the only number whose cube is 9,621.

≈ — rounded to 4 decimal places. 9,621 is not the cube of a rational number, so ∛9,621 is irrational: its decimal expansion never ends and never repeats.

Prime factors
9,621 = 3 × 3 × 1,069 = 3² × 1,069
Take out of the root
No prime appears three times, so ∛9,621 is already in simplest form.
Between cubes
21³ = 9,261 < 9,621 < 10,648 = 22³, so 21 < ∛9,621 < 22 and ∛9,621 ≈ 21.2687

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
8,00020
8,78813∛4 ≈ 20.6362
9,26121
9,621≈ 21.2687
9,999≈ 21.5436
10,00010∛10 ≈ 21.5443
10,36812∛6 ≈ 21.8054

FAQ

What is the cube root of 9,621?

∛9,621 ≈ 21.2687

Can ∛9,621 be simplified?

No: no prime appears three times in 9,621, so its only cube factor is 1 and ∛9,621 is already in simplest form. Since 21³ = 9,261 < 9,621 < 10,648 = 22³, ∛9,621 lies between 21 and 22: ∛9,621 ≈ 21.2687.

Is ∛9,621 a rational number?

No: 9,621 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 ∛9,621 is irrational; its decimal never ends and never repeats: ∛9,621 ≈ 21.2687.

See Also