Cube Root of 0.69

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What is the cube root of 0.69?

Answer

∛0.69 ≈
0.8837

Real cube root: the only number whose cube is 0.69.

≈ — rounded to 4 decimal places. 0.69 is not the cube of a rational number, so ∛0.69 is irrational: its decimal expansion never ends and never repeats.

Between cubes
0.8³ = 0.512 < 0.69 < 0.729 = 0.9³, so 0.8 < ∛0.69 < 0.9 and ∛0.69 ≈ 0.8837

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
216/3436/7 ≈ 0.8571
2/3∛18/3 ≈ 0.8736
343/5127/8 = 0.875
0.69≈ 0.8837
512/7298/9 ≈ 0.8889
0.7290.9
729/10009/10 = 0.9

FAQ

What is the cube root of 0.69?

∛0.69 ≈ 0.8837

How to find ∛0.69 without a calculator?

Bracket it between cubes: 0.8³ = 0.512 < 0.69 < 0.729 = 0.9³, so ∛0.69 lies between 0.8 and 0.9. Narrowing the bracket digit by digit gives ∛0.69 ≈ 0.8837; 0.69 is not the cube of a decimal, so the root never ends.

Is ∛0.69 a rational number?

No: 0.69 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 ∛0.69 is irrational; its decimal never ends and never repeats: ∛0.69 ≈ 0.8837.

See Also