Question

Exercitiul 12 va rog REPEDE!!!​

Answer 1

Ai de precizat daca cmmdc si cmmmmc inmultite intre doua numere va rezulta inmultirea a celor doua numere.

a) a = 12 si b =  20

12 = 2²×3

20 = 2²×5

cmmdc(12,20) = 2² = 4

cmmmc[12,20] = 2²×3×5 = 60

(12,20)×[12,20] = 4×60 = 240

iar a×b = 12×20 = 240

Adevarat

b) a = 27 si b = 36

27 = 3³

36 = 2²×3²

cmmdc(27,36) = 3² = 9

cmmmc[27,36] = 3³×2² = 108

(27,36)×[27,36] = 9×108 = 972

iar a×b = 27×36 = 972

Adevarat

c) a = 18 si b = 36

18 = 3²×2

36 = 2²×3²

cmmdc = 3²×2 = 18

cmmmc = 3²×2² = 36

(18,36)×[18,36] = 18×36 = 648

iar a×b = 18×36 = 648

Adevarat

d) a = 45 si b = 72

45 = 3²×5

72 = 2³×3²

cmmdc = 3² = 9

cmmmc = 3²×2³×5 = 360

(45,72)×[45,72] = 9×360 = 3240

iar a×b = 45×72 = 3240

Adevarat