| The simplified value of \[\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}}\]is |
A) 3
B) 5
C) 6
D) 4
Correct Answer: D
Solution :
| \[x=\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}}\] |
| \[x=\sqrt{11+\sqrt{19+\sqrt{29+7}}}\] |
| \[=\sqrt{11+\sqrt{19+\sqrt{36}}}=\sqrt{11+\sqrt{19+6}}\] |
| \[=\sqrt{11+5}=\sqrt{16}=4\] |
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