Quantitative Aptitude Ques 585

Question: $ \sqrt{6+\sqrt{6+\sqrt{6+….}}} $ is equal to

Options:

A) 4

B) 5

C) 3

D) 2

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let $ y=\sqrt{6+y} $

$ \Rightarrow $ $ y^{2}-y-6=0 $

$ \Rightarrow $ $ y^{2}-3y+2y-6=0 $

$ \Rightarrow $ $ y,(y-3)+2,(y-3)=0 $ $ y=-,2, $ 3 $ y\ne -,2 $

$ \therefore $ $ y=3 $