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[tex]1)\;\sqrt{\frac{9}{4} } +\sqrt{3+\sqrt{36} } ={\frac{\sqrt9}{\sqrt4} } +\sqrt{3+6} =\frac{3}{2} +\sqrt{9} =\frac{3}{2} +3=\frac{3+6}{2}=\frac{9}{2} =4,5.\\2)\;\sqrt{45*10}=\sqrt{45} *\sqrt{10} = \sqrt{5*9} *\sqrt{10} =3\sqrt{5} \sqrt{10} =3\sqrt{50}= 3\sqrt{25*2}=15\sqrt{2}.\\3)\;\sqrt{10} -\sqrt{40} =\sqrt{10} -\sqrt{4*10}=\sqrt{10}-2\sqrt{10}=-\sqrt{10} . \\4)\;\sqrt{300}-\sqrt{75}=\sqrt{3*25*4} -\sqrt{25*3} =\sqrt{3*25*4}=2\sqrt{25*3}-\sqrt{25*3}=10\sqrt{3} -5\sqrt{3} =5\sqrt{3} .[/tex]