ПОМОГИТЕ ПОЖАЛУЙСТА РЕШИТЬ ОДИН ПРИМЕР С КОРНЯМИ

[latex](3\sqrt{10}+1)(\frac{\sqrt{5}}{\sqrt{8}+\sqrt{5}}-\frac{\sqrt{2}}{\sqrt{5}-\sqrt{8}})= \\\ =(3\sqrt{10}+1)\cdot\frac{\sqrt{5}(\sqrt{5}-\sqrt{8})-\sqrt{2} (\sqrt{5}+\sqrt{8})}{(\sqrt{5}+ \sqrt{8})(\sqrt{5}-\sqrt{8})}= \\\ =(3\sqrt{10}+1)\cdot\frac{\sqrt{25}-\sqrt{40}-\sqrt{10}-\sqrt{16}}{(\sqrt{5})^2-(\sqrt{8})^2} =(3\sqrt{10}+1)\cdot\frac{5-2\sqrt{10}-\sqrt{10}-4}{5-8} =[/latex] [latex]=-(3\sqrt{10}+1)\cdot\frac{1-3\sqrt{10}1}{3}=-\frac{1}{3}\cdot(1+3\sqrt{10})\cdot(1-3\sqrt{10})= \\\ =-\frac{1}{3}\cdot(1^2-(3 \sqrt{10} )^2)=-\frac{1}{3}\cdot(1-90)= \frac{89}{3}=29 \frac{2}{3} [/latex]