Cube Root of 85184 (∛85184): Exact Value and Decimal

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 ✓

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