Cube Root of 343000

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Cube root of

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 ✓

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
300,76367
314,43268
328,50969
343,00070
357,91171
373,24872
389,01773

FAQ

What is the cube root of 343,000?

∛343,000 = 70

What number cubed is 343,000?

70, because 70 × 70 × 70 = 343,000. So ∛343,000 = 70 exactly: 343,000 is a perfect cube, 70³.

Is ∛343,000 a rational number?

Yes: ∛343,000 = 70, a whole number.

See Also