Cube Root of 343000 (∛343000): Exact Value and Decimal

What is the cube root of 343,000?

Answer

∛343,000 =

70

Real cube root: the only number whose cube is 343,000.

Prime factors: 343,000 = (2 × 2 × 2) × (5 × 5 × 5) × (7 × 7 × 7) = 2³ × 5³ × 7³
Take out of the root: ∛343,000 = ∛(2³ × 5³ × 7³) = 2 × 5 × 7 = 70
Check: 70 × 70 × 70 = 343,000 ✓

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