[latex] sqrt{220} /(4- sqrt{5} - sqrt{11)} [/latex] Proszę o rozwiązanie krok po kroku

[latex]frac{sqrt{220}}{4-sqrt{5}-sqrt{11}}*frac{4+sqrt{5}+sqrt{11}}{4+sqrt{5}+sqrt{11}} =frac{sqrt{220}*(4+sqrt{5}+sqrt{11})}{-2sqrt{55}}*frac{sqrt{55}}{sqrt{55}}=\ \ \ =frac{sqrt{220}*(4+sqrt{5}+sqrt{11})*sqrt{55}}{-2*55} =frac{sqrt{220*55}*(4+sqrt{5}+sqrt{11})}{-110}=\ \ \ =frac{sqrt{12100}*(4+sqrt{5}+sqrt{11})}{-110} =frac{110*(4+sqrt{5}+sqrt{11})}{-110}=\ \ \ =-(4+sqrt{5}+sqrt{11})\[/latex] Rozpisanie działania w mianowniku z pierwszej linijki: [latex](4-sqrt{5}-sqrt{11})*(4+sqrt{5}+sqrt{11})=\ \ =16-4sqrt{5}-4sqrt{11}+4sqrt{5}-5-sqrt{55}+4sqrt{11}-sqrt{55}-11=\ \ =-2sqrt{55}[/latex]