[tex]\displaystyle\bf\\33)\\\\\sqrt{t^{5}+3 } -\sqrt{t^{5} -2} =1\\\\\\(\sqrt{t^{5}+3 } +\sqrt{t^{5} -2})\cdot 1=(\sqrt{t^{5}+3 } +\sqrt{t^{5} -2})\cdot(\sqrt{t^{5}+3 } -\sqrt{t^{5} -2})=\\\\\\=(\sqrt{t^{5}+3 })^{2} -(\sqrt{t^{5} -2})^{2}=t^{5}+3-t^{5} +2=5\\\\\\34)\\\\a:b=-\sqrt{5} \ \ \ \Rightarrow \ \ \ a=-\sqrt{5} b\\\\\\a^{2} -5b^{2} =(-\sqrt{5} b)^{2} -5b^{2} =5b^{2} -5b^{2} =0[/tex]

[tex]\displaystyle\bf\\35)\\\\\sqrt{5} =m \ \ \ ; \ \ \ \sqrt{7} =n\\\\\\\sqrt{560} =\sqrt{16\cdot 5\cdot 7} =4\cdot\sqrt{5} \cdot\sqrt{7} =4mn[/tex]