0,07\; \; \Rightarrow \; \; \sqrt{30}>\sqrt{0,07}\; \; \Rightarrow \; \; \sqrt{(36\cdot 25)^{-2}}\, >\sqrt{(49\cdot 10)^{-2}}" alt="1)\; \; \sqrt{108\cdot 27}\, \vee \sqrt{27\cdot 12\cdot 16}\\\\\sqrt{108\cdot 27}\, \vee \sqrt{27\cdot 192}\\\\t.k.\; 108<192\; \; \Rightarrow \; \; 108\cdot 27<27\cdot 192\; \; \Rightarrow \; \; \sqrt{108\cdot 27}\, <\sqrt{27\cdot 12\cdot 16}\\\\2)\; \; \sqrt{(36\cdot 25)^{-2}}\, \vee \sqrt{(49\cdot 10)^{-2}}\\\\(36\cdot 25)^{-2}=(6^2\cdot 5^2)^{-2}=6\cdot 5=30\\\\(49\cdot 10)^{-2}=(7^2\cdot 10)^{-2}=7\cdot 10^{-2}=\frac{7}{10^2}=\frac{7}{100}=0,07\\\\30>0,07\; \; \Rightarrow \; \; \sqrt{30}>\sqrt{0,07}\; \; \Rightarrow \; \; \sqrt{(36\cdot 25)^{-2}}\, >\sqrt{(49\cdot 10)^{-2}}" align="absmiddle" class="latex-formula">
10\; \; \Rightarrow \; \; (\sqrt7+\sqrt3)^2>(\sqrt{10})^2\; \; \Rightarrow \; \; \sqrt7+\sqrt3\; >\sqrt{10}" alt="3)\; \; \sqrt{7}+\sqrt3\; \vee \sqrt{10} \\\\(\sqrt7+\sqrt3)^2\; \vee (\sqrt{10})^2\\\\7+2\sqrt{7\cdot 3}+3\; \vee 10\\\\10+2\sqrt{21}>10\; \; \Rightarrow \; \; (\sqrt7+\sqrt3)^2>(\sqrt{10})^2\; \; \Rightarrow \; \; \sqrt7+\sqrt3\; >\sqrt{10}" align="absmiddle" class="latex-formula">