Cube Root of −0.5 (∛(−0.5)): Exact Value and Decimal

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.

A negative number has a negative cube root: (−a)³ = −a³, so ∛(−0.5) = −∛0.5. There is no real square root of −0.5.

−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

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<a href="https://calculat.io/en/number/cube-root/-0.5">Cube Root of −0.5 (∛(−0.5)): Exact Value and Decimal</a>

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Cube Root of −0.5 (∛(−0.5)): Exact Value and Decimal. ∛(−0.5) ≈ −0.7937. 0.5 is not the cube of a decimal: 0.7³ = 0.343 < 0.5 < 0.512 = 0.8³. The minus comes out of the root.

https://calculat.io/en/number/cube-root/-0.5/generated.jpg

Cube roots of nearby values

N	∛N
−3	−∛3 ≈ −1.4422
−2	−∛2 ≈ −1.2599
−1	−1
−0.5	≈ −0.7937
−1/2	−∛4/2 ≈ −0.7937
−1/8	−1/2 = −0.5
−0.0125	≈ −0.2321

Cube Root of −0.5

What is the cube root of −0.5?

See Also

Cube roots of nearby values

FAQ

What is the cube root of −0.5?

Why does the cube root of −0.5 exist but the square root does not?

Is ∛(−0.5) a rational number?

See Also