The cube root of 1000 is 10. A cube root is the number that when multiplied by itself three times gives the product as 1000. Since 1000 can be expressed as 2 × 2 × 2 × 5 × 5 × 5, the cube root of 1000 = ∛(2 × 2 × 2 × 5 × 5 × 5) = 10. Therefore, the cube root of 1000 is a perfect cube and a rational number.