Question

Прошу подробно расписать ответ)

Answer 1

$( sqrt{6-sqrt{11}}+ sqrt{6+sqrt{11}})^{2} =( sqrt{6-sqrt{11})^{2}}+2* sqrt{6-sqrt{11}}* sqrt{6+sqrt{11}}+( sqrt{6+sqrt{11}})^{2}=6-sqrt{11}+2* sqrt{(6-sqrt{11})(6+sqrt{11})}+6+sqrt{11} =12+2 sqrt{36-11}=12+2 sqrt{25}=12+2*5=12+10=22$