Cube Root of −5832

Cube Root Calculator
Cube root of

What is the cube root of −5,832?

Answer

∛(−5,832) =
−18

Real cube root: the only number whose cube is −5,832.

A negative number has a negative cube root: (−18)³ = −5,832. There is no real square root of −5,832.

Sign
∛(−5,832) = −∛5,832, because (−a)³ = −a³
Prime factors
5,832 = (2 × 2 × 2) × (3 × 3 × 3) × (3 × 3 × 3) = 2³ × 3⁶
Take out of the root
∛5,832 = ∛(2³ × (3³)²) = 2 × 3² = 18
Check
18 × 18 × 18 = 5,832 ✓

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
−106,875−5∛855 ≈ −47.4561
−8,000−20
−6,859−19
−5,832−18
−4,913−17
−4,096−16
−3,375−15

FAQ

What is the cube root of −5,832?

∛(−5,832) = −18

Why does the cube root of −5,832 exist but the square root does not?

A cube keeps the sign: (−18)³ = −5,832, so ∛(−5,832) = −18. The square of any real number is never negative, so no real number squared gives −5,832.

Is ∛(−5,832) a rational number?

Yes: ∛(−5,832) = −18, a whole number.

See Also