Question

8. Determinati (12,18) si [12,18]

Verificati daca : (12, 18)•[12, 18] = 12•18

Answer 1

(12,18)=2×3=6

12=2²×3

18=2×3²

[12,18]=2²×3²=4×9=36

(12,18)×[12,18]=6×36=216, 12×18=216 => (A)

Answer 2

Explicație pas cu pas:

12 = 2²×3

18 = 2×3²

(12, 18) = 2×3 = 6

[12, 18] = 2²×3² = 36

.

(12, 18)•[12, 18] = 6×36 = 216

12×18 = 216

=> (12, 18)•[12, 18] = 12×18