Quantitative Aptitude Ques 1511

Question: The simplified value of $ \sqrt{5+\sqrt{11+\sqrt{19\sqrt{28+\sqrt{64}}}}} $ is

Options:

A) 3

B) 2

C) 4

D) 6

Show Answer

Answer:

Correct Answer: A

Solution:

  • (a) $ \sqrt{5+\sqrt{11+\sqrt{19+\sqrt{28+\sqrt{64}}}}} $ $ =\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{28+8}}}} $ $ =\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{36}}}} $ $ =\sqrt{5+\sqrt{11+\sqrt{19+6}}} $ $ =\sqrt{5+\sqrt{11+5}}=\sqrt{5+\sqrt{16}} $ $ =\sqrt{5+4}=\sqrt{9}=3 $
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