Cube Root of 46656 (∛46656): Exact Value and Decimal

What is the cube root of 46,656?

Answer

∛46,656 =

36

Real cube root: the only number whose cube is 46,656.

Prime factors: 46,656 = (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) × (3 × 3 × 3) = 2⁶ × 3⁶
Take out of the root: ∛46,656 = ∛((2³)² × (3³)²) = 2² × 3² = 36
Check: 36 × 36 × 36 = 46,656 ✓

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