Cube Root of −0.0125 (∛(−0.0125)): Exact Value and Decimal

What is the cube root of −0.0125?

Answer

∛(−0.0125) ≈

−0.2321

Real cube root: the only number whose cube is −0.0125.

≈ — rounded to 4 decimal places. −0.0125 is not the cube of a rational number, so ∛(−0.0125) is irrational: its decimal expansion never ends and never repeats.

A negative number has a negative cube root: (−a)³ = −a³, so ∛(−0.0125) = −∛0.0125. There is no real square root of −0.0125.

Between cubes: 0.2³ = 0.008 < 0.0125 < 0.027 = 0.3³, so 0.2 < ∛0.0125 < 0.3 and ∛0.0125 ≈ 0.2321

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<a href="https://calculat.io/en/number/cube-root/-0.0125">Cube Root of −0.0125 (∛(−0.0125)): Exact Value and Decimal</a>

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Cube Root of −0.0125 (∛(−0.0125)): Exact Value and Decimal. ∛(−0.0125) ≈ −0.2321. 0.0125 is not the cube of a decimal: 0.2³ = 0.008 < 0.0125 < 0.027 = 0.3³. The minus comes out of the root.

https://calculat.io/en/number/cube-root/-0.0125/generated.jpg

Cube roots of nearby values

N	∛N
−0.5	≈ −0.7937
−1/2	−∛4/2 ≈ −0.7937
−1/8	−1/2 = −0.5
−0.0125	≈ −0.2321
0	0
0.00015	≈ 0.0531
0.0008	≈ 0.0928

Cube Root of −0.0125

What is the cube root of −0.0125?

See Also

Cube roots of nearby values

FAQ

What is the cube root of −0.0125?

Why does the cube root of −0.0125 exist but the square root does not?

Is ∛(−0.0125) a rational number?

See Also