Cube Root of 32768

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Cube root of

What is the cube root of 32,768?

Answer

∛32,768 =
32

Real cube root: the only number whose cube is 32,768.

Prime factors
32,768 = 2¹⁵ = (2³)⁵
Take out of the root
∛32,768 = ∛((2³)⁵) = 2⁵ = 32
Check
32 × 32 × 32 = 32,768 ✓

See Also

FAQ

What is the cube root of 32,768?

∛32,768 = 32

What number cubed is 32,768?

32, because 32 × 32 × 32 = 32,768. So ∛32,768 = 32 exactly: 32,768 is a perfect cube, 32³.

Is ∛32,768 a rational number?

Yes: ∛32,768 = 32, a whole number.