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)

$$\eqalign{ & {\text{According to the question,}} \cr & \sqrt {4 + \sqrt {44 + \sqrt {10000} } } \cr & \Rightarrow \sqrt {4 + \sqrt {44 + 100} } \cr & \Rightarrow \sqrt {4 + \sqrt {144} } \cr & \Rightarrow \sqrt {4 + 12} \cr & \Rightarrow \sqrt {16} \cr & \Rightarrow 4 \cr} $$