Вычислите [latex] sqrt[3]{5 sqrt{2}-7 }* sqrt{3+2 sqrt{2} } [/latex]

[latex] sqrt[6]{(5 sqrt{x}-7)^2(3+2 sqrt{2} )^3 } =[/latex][latex] sqrt[6]{(50-70 sqrt{2} +49)(27+54 sqrt{2}+72+16 sqrt{2} ) } =[/latex][latex] sqrt[6]{(99-70 sqrt{2} )(99+70 sqrt{2}) }= sqrt[6]{9801-9800} = sqrt[6]{1} =1[/latex]