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verificati relatia [a,b] x (a,b) = a x b pentru
a) a=12 si b= 42
b) a=54 si b=63
c) a=120 si b=72

RAPID VA ROG!



Răspuns :

a)
12=2^2X3
42=2X3X7
rezulta ca c.m.m.m.c (adica a;b in parateze patrate) =2^2X3X7=84
                 c.m.m.d.c adica (a;b)  =2X3=6
daca a=12 si b=42 atunci:
12X42=84X6
504=504

b)54=2X3^3
   63=3^2X7
rezulta : cmmmc (adica a;b in paranteze patrate)= 2X3^3X7=378
              cmmdc adica (a;b)=3^2=9
aXb=54X63=3402
3402=378X9
3402=3402

c) 120=2^3X3X5
     72=2^3X3^2
rezulta ca cmmmc (a;b in paranteze patrate)=2^3X3^2X5=360
                 cmmdc adica (a;b) = 2^3X3=24
aXb=120X72=8640
8640=360X24
8640=8640

Scuze ca nu am reusit sa inser parantezele patrate.
Sper ca ai inteles
Bafta!