Cube Root of 1728

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Cube root of

What is the cube root of 1,728?

Answer

∛1,728 =
12

Real cube root: the only number whose cube is 1,728.

Prime factors
1,728 = (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) = 2⁶ × 3³
Take out of the root
∛1,728 = ∛((2³)² × 3³) = 2² × 3 = 12
Check
12 × 12 × 12 = 1,728 ✓

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1,7157∛5 ≈ 11.9698
1,725≈ 11.9931
1,726≈ 11.9954
1,72812
1,729≈ 12.0023
1,738≈ 12.0231
1,8002∛225 ≈ 12.1644

FAQ

What is the cube root of 1,728?

∛1,728 = 12

What number cubed is 1,728?

12, because 12 × 12 × 12 = 1,728. So ∛1,728 = 12 exactly: 1,728 is a perfect cube, 12³.

Is ∛1,728 a rational number?

Yes: ∛1,728 = 12, a whole number.

See Also