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Calculati [tex] \sqrt{2(1+2+3+...+200) +201} [/tex]

Răspuns :

√[2(1+2+3+...+200)+201]=
=√(2*200*201/2+201)=
=√(200*201+201)=
=√[201(200+1)]=
=√201*201=201
2*200*201:2=200*201
radical din 200*201+201=201(200+1)=radical din 201*201=201