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The simplified value of $$\sqrt {5 + \sqrt {11 + \sqrt {19 + \sqrt {29 + \sqrt {49} } } } } $$ = ?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& {\text{According to question,}} \cr
& \,\,\,\, \sqrt {5 + \sqrt {11 + \sqrt {19 + \sqrt {29 + \sqrt {49} } } } } \cr
& \Rightarrow \sqrt {5 + \sqrt {11 + \sqrt {19 + \sqrt {29 + 7} } } } \cr
& \Rightarrow \sqrt {5 + \sqrt {11 + \sqrt {19 + \sqrt {36} } } } \cr
& \Rightarrow \sqrt {5 + \sqrt {11 + \sqrt {19 + 6} } } \cr
& \Rightarrow \sqrt {5 + \sqrt {11 + \sqrt {25} } } \cr
& \Rightarrow \sqrt {5 + \sqrt {11 + 5} } \cr
& \Rightarrow \sqrt {5 + \sqrt {16} } \cr
& \Rightarrow \sqrt {5 + 4} \cr
& \Rightarrow \sqrt 9 \cr
& \Rightarrow 3 \cr} $$
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