Question

$\sqrt{76 + \sqrt{21 + \sqrt{10 + \sqrt{36} } } }$
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Answer 1

$\sqrt{76 + \sqrt{21 + \sqrt{10+ \sqrt{36} } } } \\ = \sqrt{76 + \sqrt{21 + \sqrt{10 + \sqrt{6 \times 6} } } } \\ = \sqrt{76 + \sqrt{21 + \sqrt{10 + 6} } } \\ = \sqrt{76 + \sqrt{21 + \sqrt{16} } } \\ = \sqrt{76 + \sqrt{21 + \sqrt{4 \times 4} } } \\ = \sqrt{76 + \sqrt{21 + 4} } \\ = \sqrt{76 + \sqrt{25} } \\ = \sqrt{76 + \sqrt{5 \times 5} } \\ = \sqrt{76 + 5} \\ = \sqrt{81} \\ = 9$