Question

Mulțumesc frumos!!!!! ​

Answer 1

Răspuns:

a = 31

b = 2

c = 2

Explicație pas cu pas:

$\sqrt{2} +\sqrt{2} ^{2} +\sqrt{2} ^{3} +...+\sqrt{2} ^{9} +\sqrt{2} ^{10} =$

$=\sqrt{2} +2 +2\sqrt{2} +4+4\sqrt{2} +8+8\sqrt{2} +16+16\sqrt{2}+32=$

$=2+4+8+16+32 + \sqrt{2} (1 + 2+4+8+16)=$

$=62+ 31\sqrt{2}=$

$=31(2+\sqrt{2} )$

a = 31

b = 2

c = 2