## anonymous 5 years ago i want the sum of series: √2+√2+√2+√2+.........infinity and there is a big underroot and then inh and in that i cant draw

$let y=\sqrt{2+\sqrt{2+\sqrt{2........}}}$ $y ^{2}=2+\sqrt{2+\sqrt{2+......}}$$y ^{2}=2+y$$y ^{2}-y-2=0$gives you y=2,-1. where -1 is a redundant root came due to the squaring so y=2.