Ответ:
Объяснение:
[tex]1)\ 3\sqrt{20} +\sqrt{28}+\sqrt{45}+\sqrt{63} =3\sqrt{4*5}+\sqrt{4*7}+\sqrt{9*5} +\sqrt{9*7} =\\ =6\sqrt{5}+2\sqrt{7}+3\sqrt{5} +3\sqrt{7} =9\sqrt{5}+5\sqrt{7} .\\ 2)\ (2\sqrt{\frac{2}{3} }-8\sqrt{\frac{3}{8} } +3\sqrt{\frac{3}{2})}*3\sqrt{\frac{3}{2} } }=2*3\sqrt{\frac{2*3}{3*2}} -8*3\sqrt{\frac{3*3}{8*2} } } +3*3\sqrt{\frac{3*3}{2*2} } =\\ =6*1-24*\sqrt{\frac{9}{16} } +9*\sqrt{\frac{9}{4} } =6-24*\frac{3}{4}+9*\frac{3}{2}=6-18+13,5=1,5.\\[/tex]
[tex]3)\ (6\sqrt{45}-3\sqrt{20}+9\sqrt{80} ):3\sqrt{5} =\frac{6\sqrt{9*5}-3\sqrt{4*5}+9*\sqrt{16*6} }{3\sqrt{5} }=\frac{6*3\sqrt{5} -3*2\sqrt{5} +9*4\sqrt{5} }{3\sqrt{5} } =\\ =\frac{18\sqrt{5}-6\sqrt{5}+36\sqrt{5} }{3\sqrt{5} }=\frac{48\sqrt{5} }{3\sqrt{5} } =16.\\[/tex]
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Answers & Comments
Ответ:
Объяснение:
[tex]1)\ 3\sqrt{20} +\sqrt{28}+\sqrt{45}+\sqrt{63} =3\sqrt{4*5}+\sqrt{4*7}+\sqrt{9*5} +\sqrt{9*7} =\\ =6\sqrt{5}+2\sqrt{7}+3\sqrt{5} +3\sqrt{7} =9\sqrt{5}+5\sqrt{7} .\\ 2)\ (2\sqrt{\frac{2}{3} }-8\sqrt{\frac{3}{8} } +3\sqrt{\frac{3}{2})}*3\sqrt{\frac{3}{2} } }=2*3\sqrt{\frac{2*3}{3*2}} -8*3\sqrt{\frac{3*3}{8*2} } } +3*3\sqrt{\frac{3*3}{2*2} } =\\ =6*1-24*\sqrt{\frac{9}{16} } +9*\sqrt{\frac{9}{4} } =6-24*\frac{3}{4}+9*\frac{3}{2}=6-18+13,5=1,5.\\[/tex]
[tex]3)\ (6\sqrt{45}-3\sqrt{20}+9\sqrt{80} ):3\sqrt{5} =\frac{6\sqrt{9*5}-3\sqrt{4*5}+9*\sqrt{16*6} }{3\sqrt{5} }=\frac{6*3\sqrt{5} -3*2\sqrt{5} +9*4\sqrt{5} }{3\sqrt{5} } =\\ =\frac{18\sqrt{5}-6\sqrt{5}+36\sqrt{5} }{3\sqrt{5} }=\frac{48\sqrt{5} }{3\sqrt{5} } =16.\\[/tex]