Menu Close

If-x-x-1-x-2-x-3-2019-so-x-x-1-x-2-x-3-




Question Number 61622 by naka3546 last updated on 05/Jun/19
If   (√(x (√((x+1) (√((x+2) (√((x+3) (√(...))))))))))   =   2019  so  (√(x + (√((x+1) +  (√((x+2) +  (√((x+3) +  (√(...))))))))))   =   ?
$${If}\:\:\:\sqrt{{x}\:\sqrt{\left({x}+\mathrm{1}\right)\:\sqrt{\left({x}+\mathrm{2}\right)\:\sqrt{\left({x}+\mathrm{3}\right)\:\sqrt{…}}}}}\:\:\:=\:\:\:\mathrm{2019} \\ $$$${so}\:\:\sqrt{{x}\:+\:\sqrt{\left({x}+\mathrm{1}\right)\:+\:\:\sqrt{\left({x}+\mathrm{2}\right)\:+\:\:\sqrt{\left({x}+\mathrm{3}\right)\:+\:\:\sqrt{…}}}}}\:\:\:=\:\:\:? \\ $$$$ \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *