Question

Помогите решить пример а)

Answer 1

$(frac{sqrt{sqrt2+1}+sqrt{sqrt2-1}}{sqrt{sqrt2+1}-sqrt{sqrt2-1}})^{-1}=frac{(sqrt{sqrt2+1}-sqrt{sqrt2-1})^2}{(sqrt{sqrt2+1}+sqrt{sqrt2-1})(sqrt{sqrt2+1}-sqrt{sqrt2-1})}}}=\\=frac{sqrt2+1-2sqrt{2-1}+sqrt2-1}{(sqrt2+1)-(sqrt2-1)}}=frac{2sqrt2-2}{2}=sqrt2-1$