Два примера - рационализиране на изрази

[Supernatural~]

[tex]\frac{2}{\sqrt{7}-\sqrt{5}} - \frac{2}{\sqrt{5}-\sqrt{3}} - \sqrt{\left( \sqrt{7}-\sqrt{3}\right)}^2[/tex]
[tex]\frac{5}{\sqrt{7}-\sqrt{2}} - \frac{3}{\sqrt{7}- 2} + \sqrt{\left(3+\(sqrt{2}\right)}^2[/tex]
Ще можете ли да ми помогнете с тези примери. Благодаря предварително.

[Xixibg]

[tex]1.\frac{2}{\sqrt{7}-\sqrt{5}}-\frac{2}{\sqrt{5}-\sqrt{3}}-\sqrt{(\sqrt{7}-\sqrt{3})^2}[/tex]

[tex]\frac{2(\sqrt{7}+\sqrt{5})}{(\sqrt{7}-\sqrt{5})(\sqrt{7}+\sqrt{5})}-\frac{2(\sqrt{5}+\sqrt{3})}{(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})}-(\sqrt{7}-\sqrt{3})[/tex]

[tex]\frac{2(\sqrt{7}+\sqrt{5})}{2}-\frac{2(\sqrt{5}+\sqrt{3})}{2}-(\sqrt{7}-\sqrt{3})[/tex]

[tex]\sqrt{7}+\sqrt{5}-\sqrt{5}-\sqrt{3}-\sqrt{7}+\sqrt{3}=0[/tex]

[tex]2.\frac{5}{\sqrt{7}-\sqrt{2}}-\frac{3}{\sqrt{7}-2}+\sqrt{(3+\sqrt{2})^2}[/tex]

[tex]\frac{5(\sqrt{7}+\sqrt{2})}{(\sqrt{7}-\sqrt{2})(\sqrt{7}+\sqrt{2})}-\frac{3(\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)}+(3+\sqrt{2})[/tex]

[tex]\frac{5(\sqrt{7}+\sqrt{2})}{5}-\frac{3(\sqrt{7}+2)}{3}+3+\sqrt{2}[/tex]

[tex]\sqrt{7}+\sqrt{2}-\sqrt{7}-2+3+\sqrt{2}[/tex]

[tex]2\sqrt{2}+1[/tex]