Question

un pic de ajutor va rogg​

Answer 1

 

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

 

 

Answer 2

Explicație pas cu pas:

Ai rezolvarea în ataşament !

Succes !