Question

$\sqrt{5 \sqrt{11 + \sqrt{19 + \sqrt{29 + \sqrt{49} } } } }$
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Answer 1

$\huge\sf\color{red}{Here\:it\:Goes}$$\large\downarrow{}$

$\begin{gathered} \sqrt{5 + \sqrt{11 + \sqrt{19 + \sqrt{29 + \sqrt{49} } } } } \\ \\ = \sqrt{5 + \sqrt{11 + \sqrt{19 + \sqrt{29 + 7}}}} \\ \\ = \sqrt{5 + \sqrt{11 + \sqrt{19 + \sqrt{36}}}} \\ \\ = \sqrt{5 + \sqrt{11 + \sqrt{19 +6}}} \\ \\ = \sqrt{5 + \sqrt{11 + \sqrt{25}}} \\ \\ = \sqrt{5 + \sqrt{11 + 5}} \\ \\ = \sqrt{5 + \sqrt{16}} \\ \\ = \sqrt{5 + 4 }\\ \\ = \sqrt{9 } \\ \\ = 3\end{gathered}$

Thankyou :)

Answer 2

$\sqrt{5 + \sqrt{11 + \sqrt{19 + \sqrt{29 + \sqrt{49} } } } } \\ = \sqrt{5 + \sqrt{11 + \sqrt{19 + \sqrt{29 + 7 } } } } \\ = \sqrt{5 + \sqrt{11 + \sqrt{19 + \sqrt{36} } } } \\ = \sqrt{5 + \sqrt{11 + \sqrt{19 + 6 } } } \\ = \sqrt{5 + \sqrt{11 + \sqrt{25 } } } \\ = \sqrt{5 + \sqrt{11 + 5 } } \\ = \sqrt{5 + \sqrt{16} } \\ = \sqrt{5 +4 } \\ = \sqrt{9} \\ = + 3 \: or \: - 3$

Hope this helps.

Thanks.