Question

уравнение с корнями. с решением PLEASE

Answer 1

$\ sqrt{11+6sqrt{2}}+sqrt{11-6sqrt{2}}=\ =sqrt{3^2+2cdot 3cdot sqrt{2}+2}+sqrt{3^2-2cdot 3cdot sqrt{2}+2}=\ =sqrt{left ( 3+sqrt{2} right )^2}+sqrt{left ( 3-sqrt{2} right )^2}=\ =3+3+sqrt{2}-sqrt{2}=6$