Răspuns:
a=2(1+2+3....224)+225
a=2·[224·(224+1)]/2+225
a=50400+225
a=50625
a=225² → p.p
√a=225
Răspuns: Ai mai jos demonstrația
Explicație pas cu pas:
[tex]\bf a=2\cdot (1+2+3....224)+225[/tex]
[tex]\bf a=2\cdot \big[(1+224)\cdot 224 : 2\big]+225[/tex]
[tex]\bf a=2\cdot \big(225\cdot 224 : 2\big)+225[/tex]
[tex]\bf a=2\cdot \big(225\cdot 112\big)+225[/tex]
[tex]\bf a=2\cdot 25200+225[/tex]
[tex]\bf a=50400+225[/tex]
[tex]\bf a=50625[/tex]
[tex]\red{\boxed{\bf a=225^{2} \implies ~patrat ~perfect}}[/tex]
[tex]\bf \sqrt{a}=\sqrt{225^{2}} \implies \purple{\boxed{\bf a = 225}}[/tex]
[tex]==pav38==[/tex]
