Question

помогите решить :
√(11-6√2)+√2

Answer 1

$sqrt{11-6sqrt{2}}+sqrt{2}=\\sqrt{9-6sqrt{2}+2}+sqrt{2}=\\sqrt{3^2-2*3*sqrt{2}+(sqrt{2})^2}+sqrt{2}=\\sqrt{(3-sqrt{2})^2}+sqrt{2}=\\|3-sqrt{2}|+sqrt{2}=3-sqrt{2}+sqrt{2}=3$
ответ: 3