Cube Root of 85184

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Cube root of

What is the cube root of 85,184?

Answer

∛85,184 =
44

Real cube root: the only number whose cube is 85,184.

Prime factors
85,184 = (2 × 2 × 2) × (2 × 2 × 2) × (11 × 11 × 11) = 2⁶ × 11³
Take out of the root
∛85,184 = ∛((2³)² × 11³) = 2² × 11 = 44
Check
44 × 44 × 44 = 85,184 ✓

See Also

Cube roots of nearby values

FAQ

What is the cube root of 85,184?

∛85,184 = 44

What number cubed is 85,184?

44, because 44 × 44 × 44 = 85,184. So ∛85,184 = 44 exactly: 85,184 is a perfect cube, 44³.

Is ∛85,184 a rational number?

Yes: ∛85,184 = 44, a whole number.