Cube Root of 1000

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Cube root of

What is the cube root of 1,000?

Answer

∛1,000 =
10

Real cube root: the only number whose cube is 1,000.

Prime factors
1,000 = (2 × 2 × 2) × (5 × 5 × 5) = 2³ × 5³
Take out of the root
∛1,000 = ∛(2³ × 5³) = 2 × 5 = 10
Check
10 × 10 × 10 = 1,000 ✓

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Recalculate with different values ↑

Cube roots of nearby values

N∛N
997≈ 9.99
998≈ 9.9933
9993∛37 ≈ 9.9967
1,00010
1,001≈ 10.0033
1,0248∛2 ≈ 10.0794
1,0297∛3 ≈ 10.0957

FAQ

What is the cube root of 1,000?

∛1,000 = 10

What number cubed is 1,000?

10, because 10 × 10 × 10 = 1,000. So ∛1,000 = 10 exactly: 1,000 is a perfect cube, 10³.

Is ∛1,000 a rational number?

Yes: ∛1,000 = 10, a whole number.

See Also