Упростите√√17+12√2Всё под первым корнем

[latex] sqrt{ sqrt{17+12 sqrt{2} }}= sqrt{ sqrt{9+12 sqrt{2}+8 }}= \ sqrt{ sqrt{3^2+2*3*2 sqrt{2}+(2 sqrt{2} )^2 }}= \ sqrt{ sqrt{(3+2 sqrt{2})^2 }}= sqrt{3+2 sqrt{2} }= sqrt{1^2+2 sqrt{2}+ sqrt{2}^2 } = \ sqrt{( sqrt{2}+1 )^2} = sqrt{2}+1 [/latex]