Which of the following integers are cubes of negative integers ?(i) -2

1.	Which of the following integers are cubes of negative integers ?(i) -2744(ii) -42875
Answer» (i) -2744 2744 = 2 × 2 × 2 × 7 × 7 × 7 = 2³ × 7³ = 14³ 2744 is a perfect cube. ∴ -2744 is a cube of negative integer – 14. (ii) -42875 42875 = 5 × 5 × 5 × 7 × 7 × 7 = 5³ × 7³ = 35³ 42875 is a perfect cube. ∴ -42875 is a cube of negative integer – 35.

Which of the following integers are cubes of negative integers ?(i) -2744(ii) -42875

Answer»

(i) -2744

2744 = 2 × 2 × 2 × 7 × 7 × 7

= 2³ × 7³

= 14³

2744 is a perfect cube.

∴ -2744 is a cube of negative integer – 14.

(ii) -42875

42875 = 5 × 5 × 5 × 7 × 7 × 7

= 5³ × 7³

= 35³

42875 is a perfect cube.

∴ -42875 is a cube of negative integer – 35.