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What is the cube root of 4,096?

Answer

∛4,096 =
16

Real cube root: the only number whose cube is 4,096.

Prime factors
4,096 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) = 2¹²
Take out of the root
∛4,096 = ∛((2³)⁴) = 2⁴ = 16
Check
16 × 16 × 16 = 4,096 ✓

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See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
3,37515
3,8886∛18 ≈ 15.7244
4,045≈ 15.9333
4,09616
4,225≈ 16.1662
4,5005∛36 ≈ 16.5096
4,900≈ 16.985

FAQ

What is the cube root of 4,096?

∛4,096 = 16

What number cubed is 4,096?

16, because 16 × 16 × 16 = 4,096. So ∛4,096 = 16 exactly: 4,096 is a perfect cube, 16³.

Is ∛4,096 a rational number?

Yes: ∛4,096 = 16, a whole number.

See Also