Question

Помогите решить 1 b, 2, 4 b

Answer 1

1b
$sqrt[3]{(4+2 sqrt{2})(4-2 sqrt{2} ) } = sqrt[3]{16-8} = sqrt[3]{8} =2$
2a
$a ^{-3} *a^2b ^{2/3} /b ^{1/3} =a ^{-1} b ^{1/3} = sqrt[3]{b} /a$
2b
$(a ^{1- sqrt{2} } ) ^{ sqrt{2} +1} *a ^{ sqrt{2}+1 } =a ^{1-2+ sqrt{2} +1} =a ^{ sqrt{2} }$
4b
2/3<1⇒$(2/3) ^{ sqrt{2} } textless 1$