Question

помогите пожалуйста , срочно надо !!! $(2 sqrt{2} +3) sqrt{17 -12 sqrt{2}$

Answer 1

$(2 sqrt{2} +3) sqrt{17 -12 sqrt{2}} =(2 sqrt{2} +3) sqrt{9 -12 sqrt{2}+8} = \ \ =(2 sqrt{2} +3) sqrt{3^2 -12 sqrt{2}+(2 sqrt{2} )^2}}=(2 sqrt{2} +3) sqrt{(3-2 sqrt{2} )^2}= \\ =(3+2 sqrt{2})(3-2 sqrt{2}) =3^2-(2 sqrt{2} )^2=9-8=1$