A) \[4\]
B) \[6\]
C) \[8\]
D) \[10\]
Correct Answer: A
Solution :
Expression \[=\sqrt{8+\sqrt{57+\sqrt{38\sqrt{108+\sqrt{169}}}}}\] \[=\sqrt{8+\sqrt{57+\sqrt{38+\sqrt{108+}}}}\] \[=\sqrt{8+\sqrt{57+\sqrt{38+\sqrt{121}}}}\] \[=\sqrt{8+\sqrt{57+\sqrt{38+11}}}\] \[=\sqrt{8+\sqrt{57+\sqrt{49}}}\] \[=\sqrt{8+\sqrt{57+7}}=\sqrt{8+\sqrt{64}}\] \[=\sqrt{8+8}=\sqrt{16}=4\]
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