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[tex]a)\ \ \sqrt{48}=\sqrt{16\cdot3}=\sqrt{16}\cdot\sqrt{3}=4\sqrt{3}\\\\b)\ \ \sqrt{216}=\sqrt{36\cdot6}=\sqrt{36}\cdot\sqrt{6}=6\sqrt{6}\\\\c)\ \ \sqrt{245}=\sqrt{49\cdot5}=\sqrt{49}\cdot\sqrt{5}=7\sqrt{5}\\\\d)\ \ \sqrt{450}=\sqrt{225\cdot2}=\sqrt{225}\cdot\sqrt{2}=15\sqrt{2}\\\\e)\ \ \sqrt{800}=\sqrt{400\cdot2}=\sqrt{400}\cdot\sqrt{2}=20\sqrt{2}\\\\f)\ \ \sqrt{50}=\sqrt{25\cdot2}=\sqrt{25}\cdot\sqrt{2}=5\sqrt{2}[/tex]
[tex]g)\ \ \sqrt{24}=\sqrt{4\cdot6}=\sqrt{4}\cdot\sqrt{6}=2\sqrt{6}\\\\h)\ \ \sqrt{75}=\sqrt{25\cdot3}=\sqrt{25}\cdot\sqrt{3}=5\sqrt{3}\\\\i)\ \ \sqrt{80}=\sqrt{16\cdot5}=\sqrt{16}\cdot\sqrt{5}=4\sqrt{5}\\\\j)\ \ \sqrt{192}=\sqrt{64\cdot3}=\sqrt{64}\cdot\sqrt{3}=8\sqrt{3}[/tex]
