Cube Root of 46656

Cube Root Calculator
Cube root of

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 ✓

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
39,30434
42,87535
45,00010∛45 ≈ 35.5689
46,65636
50,65337
54,87238
59,31939

FAQ

What is the cube root of 46,656?

∛46,656 = 36

What number cubed is 46,656?

36, because 36 × 36 × 36 = 46,656. So ∛46,656 = 36 exactly: 46,656 is a perfect cube, 36³.

Is ∛46,656 a rational number?

Yes: ∛46,656 = 36, a whole number.

See Also