Cube Root of 314432 (∛314432): Exact Value and Decimal

What is the cube root of 314,432?

Answer

∛314,432 =

68

Real cube root: the only number whose cube is 314,432.

Prime factors: 314,432 = (2 × 2 × 2) × (2 × 2 × 2) × (17 × 17 × 17) = 2⁶ × 17³
Take out of the root: ∛314,432 = ∛((2³)² × 17³) = 2² × 17 = 68
Check: 68 × 68 × 68 = 314,432 ✓

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