Cube Root of 74088 (∛74088): Exact Value and Decimal

What is the cube root of 74,088?

Answer

∛74,088 =

42

Real cube root: the only number whose cube is 74,088.

Prime factors: 74,088 = (2 × 2 × 2) × (3 × 3 × 3) × (7 × 7 × 7) = 2³ × 3³ × 7³
Take out of the root: ∛74,088 = ∛(2³ × 3³ × 7³) = 2 × 3 × 7 = 42
Check: 42 × 42 × 42 = 74,088 ✓

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