Cube Root of 0.5

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What is the cube root of 0.5?

Answer

∛0.5 ≈
0.7937

Real cube root: the only number whose cube is 0.5.

≈ — rounded to 4 decimal places. 0.5 is not the cube of a rational number, so ∛0.5 is irrational: its decimal expansion never ends and never repeats.

0.5 = 1/2.

Between cubes
0.7³ = 0.343 < 0.5 < 0.512 = 0.8³, so 0.7 < ∛0.5 < 0.8 and ∛0.5 ≈ 0.7937

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
3/8∛3/2 ≈ 0.7211
27/643/4 = 0.75
343/7297/9 ≈ 0.7778
0.5≈ 0.7937
1/2∛4/2 ≈ 0.7937
0.5120.8
64/1254/5 = 0.8

FAQ

What is the cube root of 0.5?

∛0.5 ≈ 0.7937

How to find ∛0.5 without a calculator?

Bracket it between cubes: 0.7³ = 0.343 < 0.5 < 0.512 = 0.8³, so ∛0.5 lies between 0.7 and 0.8. Narrowing the bracket digit by digit gives ∛0.5 ≈ 0.7937; 0.5 is not the cube of a decimal, so the root never ends.

Is ∛0.5 a rational number?

No: 0.5 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 ∛0.5 is irrational; its decimal never ends and never repeats: ∛0.5 ≈ 0.7937.

See Also