Question

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

Answer 1

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