Question

$\sqrt{7 + 2 \sqrt{10} }$

Answer 1

$\sqrt{7 + 2 \sqrt{10} } \\ using \: ( a + b) {}^{2} = a {}^{2} + b {}^{2} + 2ab \\ = \sqrt{( \sqrt{2} } + \sqrt{5}) {}^{2} \\ = \sqrt{2} + \sqrt{5} \\ = 3.650$