Răspuns :
Dam factor pe radical din 2
[tex] \sqrt{2} (1+ \frac{ \sqrt{8} }{ \sqrt{2} } + \frac{ \sqrt{18} }{ \sqrt{2} } +...+ \frac{ \sqrt{200}}{ \sqrt{2} } )[/tex]
[tex] \sqrt{2} (1+ \sqrt{4} + \sqrt{9} + \sqrt{16}+...+ \sqrt{100} )[/tex]
[tex] \sqrt{2} (1+2+3+...+10)[/tex]
[tex] \sqrt{2} ( \frac{10*11}{2} )[/tex]
[tex]55 \sqrt{2} [/tex]
[tex] \sqrt{2} (1+ \frac{ \sqrt{8} }{ \sqrt{2} } + \frac{ \sqrt{18} }{ \sqrt{2} } +...+ \frac{ \sqrt{200}}{ \sqrt{2} } )[/tex]
[tex] \sqrt{2} (1+ \sqrt{4} + \sqrt{9} + \sqrt{16}+...+ \sqrt{100} )[/tex]
[tex] \sqrt{2} (1+2+3+...+10)[/tex]
[tex] \sqrt{2} ( \frac{10*11}{2} )[/tex]
[tex]55 \sqrt{2} [/tex]