Question

Срочно помогите пожалуйста
$\sqrt{5-2* \sqrt{6} } + \sqrt{5+2* \sqrt{6} }$

Answer 1

$x=\sqrt{5-2\sqrt{6}}+\sqrt{5+2\sqrt{6}} \geq 0;$

$x^2=5-2\sqrt{6}+5+2\sqrt{6}+2\sqrt{(5-2\sqrt{6})(5+2\sqrt{6})};$

$x^2=10+2\sqrt{25-24}; \ x^2=12; x=\pm2\sqrt{3}$

$x \geq 0\Rightarrow x=2\sqrt{3}$

Ответ: $2\sqrt{3}$