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Question

Evaluate :  `sqrt(248+ sqrt(51 + sqrt(169)))`


Options:
A .  16
B .  15
C .  14
D .  13
Answer: Option A

Sol.    Given expression  = `sqrt(248 +sqrt(51 +sqrt(169)))`

                                         = `sqrt(248 + sqrt(51 + 13))`

                                         = `sqrt(248 + sqrt(64))`

                                          = ` sqrt(248 + 8)`

                                           = `sqrt(256)`

                                            = 16. 



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