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GATE20142GA5
+13
votes
603
views
The value of $\sqrt{12+\sqrt{12+\sqrt{12+\dots}}} $is
$3.464$
$3.932$
$4.000$
$4.444$
gate20142
numericalability
easy
numberseries
asked
Sep 28, 2014
in
Numerical Ability
by
jothee
Veteran
(
96.1k
points)
edited
Jun 8, 2018
by
Milicevic3306

603
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answer
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2
Answers
+20
votes
Best answer
$x = \sqrt{12 + x}$
$\implies x^2 = 12 + x$
$\implies x^2  x  12 = 0$
$\implies (x4) (x+3) = 0$
$\implies x = 4 \text{ or } x = 3$
Correct Answer: $C$
answered
Dec 18, 2014
by
Arjun
Veteran
(
407k
points)
edited
Apr 27
by
Naveen Kumar 3
comment
0
X = 4 is taken because sum of positive terms can not be negative.
0
As a matter of humor maybe, in just several seconds you can also use GATE calculator for such question.
Just keep calculating till 23 times and you'll notice that the pattern is diverging toward one of the answers.
Cheers!
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+3
votes
c) 4.000
answered
Dec 18, 2014
by
Aditi Dan
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5.2k
points)
comment
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Answer:
C
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