Question

$\sqrt{5 + \sqrt{14 + \sqrt{19 + \sqrt{29 + \sqrt{49 } } } } }$
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Answer 1

Answer:

$\sqrt{5 + \sqrt{19} }$

Step-by-step explanation:

$\sqrt{5 + \sqrt{14 + \sqrt{19 + \sqrt{29 + \sqrt{49} } } } } \\ \\ = \sqrt{5 + \sqrt{14 + \sqrt{19 + \sqrt{29 + 7} } } } \\ \\ = \sqrt{5 + \sqrt{14 + \sqrt{19 + \sqrt{36} } } } \\ \\ = \sqrt{5 + \sqrt{14 + \sqrt{19 + 6} } } \\ \\ \\ = \sqrt{5 + \sqrt{14 + \sqrt{25} } } \\ \\ = \sqrt{5 + \sqrt{14 + 5} } \\ \\ = \sqrt{5 + \sqrt{19} }$