Question

which of the following are perfect cubes:
1. 400
2. 3375
3. 8000
4. 15625
5. 9000
6. 6859
7. 2025
8. 10648
7³-6³, 12³-11³, 20³-19³ do in this pattern
DON'T ANSWER UNNECESSARY OR ELSE I WILL REPORT YOU!!​

Answer 1

We will find it by prime factorization whether they make a pair of three prime numbers or not.

(1) 400 = 2× 2×2×2×5×5 . So not a perfect cube.

(2) 3375 = 3×3×3×5×5×5. So it is a perfect cube.

(3) 8000 = 2×2×2×2×2×2×5×5×5. So it is a perfect cube.

(4) 15625 = 5×5×5×5×5×5. So it is a perfect cube.

(5) 9000 = 2×2×2×3×3×5×5×5. So it is not a perfect cube.

(6) 6859 = 19×19×19. So it is a perfect cube.

(7) 2025 = 3×3×3×3×5×5. So it is not a perfect cube.

(8) 10648 = 2×2×2×11×11×11. So it is a perfect cube.