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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Sequence and Series
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If $\;x=\sqrt{2+\sqrt{2+\sqrt{2+------\;\infty}}}\;and\;y=\sqrt{2\;\sqrt{2\;\sqrt{2\;\sqrt{2\;----\;\infty}}}}$ then $xy$ equals

$(a)\;2\qquad(b)\;4\qquad(c)\;0\qquad(d)\;1$

Can you answer this question?
 
 

1 Answer

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Answer : (b) 4
Explanation : $x^2=x+2\quad\;x=2$
$y^2=2y\quad\;y=2$
$xy=4.$
answered Jan 20, 2014 by yamini.v
 

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