Find the value of, $$\sqrt {4 + \sqrt {44 + \sqrt {10000} } } $$
A. 12
B. 8
C. 4
D. -4
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{According to the question,}} \cr & \sqrt {4 + \sqrt {44 + \sqrt {10000} } } \cr & \Rightarrow \sqrt {4 + \sqrt {44 + 100} } \cr & \Rightarrow \sqrt {4 + \sqrt {144} } \cr & \Rightarrow \sqrt {4 + 12} \cr & \Rightarrow \sqrt {16} \cr & \Rightarrow 4 \cr} $$This Question Belongs to Arithmetic Ability >> Simplification
According to the question,4+44+10000−−−−−√−−−−−−−−−−√−−−−−−−−−−−−−−−√⇒4+44+100−−−−−−−√−−−−−−−−−−−−√⇒4+144−−−√−−−−−−−−√⇒4+12−−−−−√⇒16−−√⇒4