Question

aratati ca nr c=(2^40+2^39+2^38) :7 este patrat perfect.Cu explicatie.Dau coroana

Answer 1

Răspuns:

Explicație pas cu pas:

c=(2^38*2^2+2^38*2^1+2^38):7

c=2^38(2^2+2^1+1):7

c=2^38(4+2+1):7

c=2^38*7:7

c=2^38

c=(2^19)^2

Answer 2

$\it c= (2^{40}+2^{39}+2^{38}):7=2^{38}(4+2+1):7= 2^{38}\cdot7:7=2^{38}=(2^{19})^2$