[tex]c) \ \sqrt{48}+\sqrt{12} = \sqrt{16\cdot3}+\sqrt{4\cdot3} = \sqrt{16}\cdot\sqrt{3}+\sqrt{4}\cdot\sqrt{3} = 4\sqrt{3}+2\sqrt{3} = 6\sqrt{3}\\\\d) \ \sqrt{75}-\sqrt{300} = \sqrt{25\cdot3}-\sqrt{100\cdot3} = \sqrt{25}\cdot\sqrt{3}-\sqrt{100}\cdot\sqrt{3} = 5\sqrt{3}-10\sqrt{3} =\\= -5\sqrt{3}[/tex]
[tex]e) \ \sqrt{72} + \sqrt{50} -\sqrt{32} = \sqrt{36\cdot2}+\sqrt{25\cdot2} -\sqrt{16\cdot2} = \sqrt{36}\cdot\sqrt{2} + \sqrt{25}\cdot\sqrt{2}-\sqrt{16}\cdot\sqrt{2} =\\=6\sqrt{2}+5\sqrt{2}-4\sqrt{2} = 7\sqrt{2}[/tex]
