Cube Root of 0.00015

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What is the cube root of 0.00015?

Answer

∛0.00015 ≈
0.0531

Real cube root: the only number whose cube is 0.00015.

≈ — rounded to 4 decimal places. 0.00015 is not the cube of a rational number, so ∛0.00015 is irrational: its decimal expansion never ends and never repeats.

Between cubes
0.05³ = 0.000125 < 0.00015 < 0.000216 = 0.06³, so 0.05 < ∛0.00015 < 0.06 and ∛0.00015 ≈ 0.0531

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
−1/8−1/2 = −0.5
−0.0125≈ −0.2321
00
0.00015≈ 0.0531
0.0008≈ 0.0928
0.0010.1
1/10001/10 = 0.1

FAQ

What is the cube root of 0.00015?

∛0.00015 ≈ 0.0531

How to find ∛0.00015 without a calculator?

Bracket it between cubes: 0.05³ = 0.000125 < 0.00015 < 0.000216 = 0.06³, so ∛0.00015 lies between 0.05 and 0.06. Narrowing the bracket digit by digit gives ∛0.00015 ≈ 0.0531; 0.00015 is not the cube of a decimal, so the root never ends.

Is ∛0.00015 a rational number?

No: 0.00015 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 ∛0.00015 is irrational; its decimal never ends and never repeats: ∛0.00015 ≈ 0.0531.

See Also