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un pic de ajutor va rogg​

Un Pic De Ajutor Va Rogg class=

Răspuns :

 

[tex]\displaystyle\\~~~~\Big(5+\sqrt{2}\Big)^2+\Big(1-5\sqrt{2}\Big)^2=\\\\=\Big(5^2+2\times5\times\sqrt{2}+\Big(\sqrt{2}\Big)^2\Big)+\Big(1^2-2\times1\times5\sqrt{2}+\Big(5\sqrt{2}\Big)^2\Big)=\\\\=\Big(25+10\sqrt{2}+2\Big)+\Big(1-10\sqrt{2}+50\Big)=\\\\=\Big(27+10\sqrt{2}\Big)+\Big(51-10\sqrt{2}\Big)=\\\\=27+10\sqrt{2}+51-10\sqrt{2}=\\\\=27+51+10\sqrt{2}-10\sqrt{2}=\\\\=27+51 = \boxed{\bf78}[/tex]

 

 

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