Question

найти значение
пожалуйста

Answer 1

$sqrt[3]{1+ sqrt{2} } * sqrt[6]{3-2 sqrt{2} } = sqrt[3]{1+ sqrt{2} } * sqrt[6]{ (sqrt{2} -1)^2}=$$=sqrt[3]{1+ sqrt{2} } * sqrt[3]{ sqrt{2} -1}= sqrt[3]{(1+ sqrt{2})( sqrt{2}-1) } =sqrt[3]{(sqrt{2})^2-1 }=$$sqrt[3]{2-1} =1$

$( sqrt{2} -1)^2=( sqrt{2} )^2+1-2 sqrt{2} =3-2 sqrt{2}$