Question

$\sqrt{4 + \sqrt{44 + \sqrt{10000} } }$

Answer 1

$\sqrt{4 + \sqrt{44 + \sqrt{10000} } } \\ = \sqrt{4 + \sqrt{44 + 100} } \\ = \sqrt{4 + \sqrt{144} } \\ = \sqrt{4 + 12} \\ = \sqrt{16} \\ = 4$