Respostas

A melhor resposta!
2014-04-08T18:35:09-03:00
 \frac{1}{1+ \sqrt{2} } + \frac{1}{ \sqrt{2} + \sqrt{3} } + \frac{1}{\sqrt{3} + \sqrt{4}} +...+ \frac{1}{\sqrt{999} + \sqrt{1000}}

 \frac{ \sqrt{2} - 1 }{2-1 } + \frac{ \sqrt{3} - \sqrt{2} }{ 3-2 } + \frac{ \sqrt{4} - \sqrt{3} }{4-3} +...+ \frac{ \sqrt{1000} - \sqrt{999} }{1000-999}

 \frac{ \sqrt{2} - 1 }{1 } + \frac{ \sqrt{3} - \sqrt{2} }{ 1 } + \frac{ \sqrt{4} - \sqrt{3} }{1} +...+ \frac{ \sqrt{1000} - \sqrt{999} }{1}

{ \sqrt{2} - 1 } + { \sqrt{3} - \sqrt{2} } + { \sqrt{4} - \sqrt{3} } +...+ { \sqrt{1000} - \sqrt{999} }

 - 1  + \sqrt{1000}

10 \sqrt{10} -1

Letra a)
1 5 1