Odpowiedź:
[tex]e)\ \ \sqrt{5}(\sqrt{5}-5\sqrt{125}+\sqrt{500})=\sqrt{5}(\sqrt{5}-5\sqrt{25\cdot5}+\sqrt{100\cdot5})=\\\\=\sqrt{5}(\sqrt{5}-5\cdot5\sqrt{5}+10\sqrt{5})=\sqrt{5}(\sqrt{5}-25\sqrt{5}+10\sqrt{5})=\sqrt{5}\cdot(-14\sqrt{5})=\\\\=-\sqrt{5}\cdot14\sqrt{5}=-5\cdot14=-70\\\\lub\\\\\sqrt{5}(\sqrt{5}-5\sqrt{125}+\sqrt{500})=\sqrt{5}\cdot\sqrt{5}-\sqrt{5}\cdot5\sqrt{125}+\sqrt{5}\cdot\sqrt{500}=\\\\=\sqrt{25}-5\sqrt{625}+\sqrt{2500}=5-5\cdot25+50=5-125+50=55-125=-70[/tex]
[tex]f)\ \ (\sqrt{50}+\sqrt{18}-\sqrt{72}):\sqrt{2}=\sqrt{50}:\sqrt{2}+\sqrt{18}:\sqrt{2}-\sqrt{72}:\sqrt{2}=\\\\=\sqrt{25}+\sqrt{9}-\sqrt{36}=5+3-6=8-6=2[/tex]
