Cube Root of 13824

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Cube root of

What is the cube root of 13,824?

Answer

∛13,824 =
24

Real cube root: the only number whose cube is 13,824.

Prime factors
13,824 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) = 2⁹ × 3³
Take out of the root
∛13,824 = ∛((2³)³ × 3³) = 2³ × 3 = 24
Check
24 × 24 × 24 = 13,824 ✓

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
11,025≈ 22.2566
12,16723
12,8008∛25 ≈ 23.3921
13,82424
15,62525
17,57626
19,68327

FAQ

What is the cube root of 13,824?

∛13,824 = 24

What number cubed is 13,824?

24, because 24 × 24 × 24 = 13,824. So ∛13,824 = 24 exactly: 13,824 is a perfect cube, 24³.

Is ∛13,824 a rational number?

Yes: ∛13,824 = 24, a whole number.

See Also