Cube Root of 0.25

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What is the cube root of 0.25?

Answer

∛0.25 ≈
0.63

Real cube root: the only number whose cube is 0.25.

≈ — rounded to 4 decimal places. 0.25 is not the cube of a rational number, so ∛0.25 is irrational: its decimal expansion never ends and never repeats.

0.25 = 1/4.

Between cubes
0.6³ = 0.216 < 0.25 < 0.343 = 0.7³, so 0.6 < ∛0.25 < 0.7 and ∛0.25 ≈ 0.63

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FAQ

What is the cube root of 0.25?

∛0.25 ≈ 0.63

How to find ∛0.25 without a calculator?

Bracket it between cubes: 0.6³ = 0.216 < 0.25 < 0.343 = 0.7³, so ∛0.25 lies between 0.6 and 0.7. Narrowing the bracket digit by digit gives ∛0.25 ≈ 0.63; 0.25 is not the cube of a decimal, so the root never ends.

Is ∛0.25 a rational number?

No: 0.25 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 ∛0.25 is irrational; its decimal never ends and never repeats: ∛0.25 ≈ 0.63.