6,25\; \; \Rightarrow \; \; \sqrt{8+2\sqrt{15}}>\sqrt{13-2\sqrt{30}}" alt="3)\; \; \sqrt{8+2\sqrt{15}}\; \; \vee \; \; \sqrt{13-2\sqrt{30}}\\\\ 8+2\sqrt{15}\; \; \vee\; \; 13-2\sqrt{30}\\\\2\sqrt{15}+2\sqrt{30} \; \; \vee\; \; 5\\\\2(\sqrt{15}+\sqrt{30})\; \; \vee \; \; 5\\\\15+30+2\sqrt{15\cdot 30}\; \; \vee \; \; (\frac{5}{2})^2\\ \\ 45+2\cdot 15\sqrt2\; \; \vee \; \; 6,25\\ \\45+30\sqrt2>6,25\; \; \Rightarrow \; \; \sqrt{8+2\sqrt{15}}>\sqrt{13-2\sqrt{30}}" align="absmiddle" class="latex-formula">