Cube Root of 157464 (∛157464): Exact Value and Decimal

What is the cube root of 157,464?

Answer

∛157,464 =

54

Real cube root: the only number whose cube is 157,464.

Prime factors: 157,464 = (2 × 2 × 2) × (3 × 3 × 3) × (3 × 3 × 3) × (3 × 3 × 3) = 2³ × 3⁹
Take out of the root: ∛157,464 = ∛(2³ × (3³)³) = 2 × 3³ = 54
Check: 54 × 54 × 54 = 157,464 ✓

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