Find the value of $$\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?$$

A. -16

B. $$ \pm 16$$

C. 16

D. 16.2

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {\text{According to question,}} \cr & \sqrt {248 + \sqrt {52 + \sqrt {144} } } \cr & \Rightarrow \sqrt {248 + \sqrt {52 + 12} } \cr & \Rightarrow \sqrt {248 + \sqrt {64} } \cr & \Rightarrow \sqrt {256} \cr & \Rightarrow \pm 16 \cr} $$