Quantitative Aptitude Ques 402

Question: The simplified value of $ \sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}} $ is

Options:

A) 3

B) 5

C) 6

D) 4

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ x=\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}} $ $ x=\sqrt{11+\sqrt{19+\sqrt{29+7}}} $ $ =\sqrt{11+\sqrt{19+\sqrt{36}}}=\sqrt{11+\sqrt{19+6}} $ $ =\sqrt{11+5}=\sqrt{16}=4 $
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