Question

Помогите пожалуйста! $( sqrt{ sqrt{3}+ sqrt{2} } - sqrt{ sqrt{3}- sqrt{2} } )*( sqrt{ sqrt{3}+ sqrt{2} }+ sqrt{ sqrt{3}- sqrt{2} } ) ^{-1} + sqrt{ sqrt{( sqrt{5}- frac{5}{2}) ^{2} }- sqrt[3]{( frac{3}{2}- sqrt{5) } ^{3} } } }$

Answer 1

$(sqrt{sqrt{3}+sqrt{2}}-sqrt{sqrt{3}-sqrt{2}})*(sqrt{sqrt{3}+sqrt{2}}+sqrt{sqrt{3}-sqrt{2}}) ^{-1} +sqrt{sqrt{(sqrt{5}-frac{5}{2})^{2}}-sqrt[3]{(frac{3}{2}-sqrt{5)}^{3}}}}=\ =frac{sqrt{sqrt{3}+sqrt{2}}-sqrt{sqrt{3}-sqrt{2}}}{sqrt{sqrt{3}+sqrt{2}}+sqrt{sqrt{3}-sqrt{2}}} +sqrt{|sqrt{5}-frac{5}{2}|-frac{3}{2}+sqrt{5)}}=$
$=frac{sqrt{sqrt{3}+sqrt{2}}-sqrt{sqrt{3}-sqrt{2}}}{sqrt{sqrt{3}+sqrt{2}}+sqrt{sqrt{3}-sqrt{2}}} +sqrt{frac{5}{2}-sqrt{5}-frac{3}{2}+sqrt{5}}=\ =frac{sqrt{sqrt{3}+sqrt{2}}-sqrt{sqrt{3}-sqrt{2}}}{sqrt{sqrt{3}+sqrt{2}}+sqrt{sqrt{3}-sqrt{2}}} +1=frac{(sqrt{sqrt{3}+sqrt{2}}-sqrt{sqrt{3}-sqrt{2}})^2}{(sqrt{sqrt{3}+sqrt{2}}+sqrt{sqrt{3}-sqrt{2}})(sqrt{sqrt{3}+sqrt{2}}-sqrt{sqrt{3}-sqrt{2}})} +1=$
$=frac{(sqrt{sqrt{3}+sqrt{2}})^2-2sqrt{sqrt{3}+sqrt{2}}*sqrt{sqrt{3}-sqrt{2}}+(sqrt{sqrt{3}-sqrt{2}}))^2}{(sqrt{sqrt{3}+sqrt{2}})^2-(sqrt{sqrt{3}-sqrt{2}})^2} +1=$
$=frac{sqrt{3}+sqrt{2}-2+sqrt{3}-sqrt{2}}{sqrt{3}+sqrt{2}-sqrt{3}+sqrt{2}}+1\ =frac{2sqrt{3}-2}{2sqrt{2}}+1=frac{2sqrt{3}-2+2sqrt{2}}{2sqrt{2}}=frac{sqrt{3}-1+sqrt{2}}{sqrt{2}}$