ex 2 cu rezolvare completa dau coroana va rog

Răspuns:

[tex] (\frac{6}{3 \sqrt{5} } - \frac{3}{2 \sqrt{5} } + \frac{1}{4 \sqrt{5} } ) \div \frac{15}{2 \sqrt{10} } = \\ ( \frac{24 - 18 + 3}{12 \sqrt{5} } ) \times \frac{2 \sqrt{10} }{15 } = \\ \frac{9}{12 \sqrt{5} } \times \frac{2 \sqrt{10} }{15} = \\ \frac{3}{4 \sqrt{5} } \times \frac{2 \sqrt{10} }{15} = \frac{1}{2} \times \frac{ \sqrt{2} }{5} = \frac{ \sqrt{2} }{10} [/tex]

Răspuns:

[tex](\frac{6}{\sqrt{9} *\sqrt{5} } -\frac{3}{\sqrt{4}*\sqrt{5} } +\frac{1}{\sqrt{16}*\sqrt{5} } )*\frac{2*\sqrt{10} }{15} \\=(\frac{6}{3*\sqrt{5} } -\frac{3}{2*\sqrt{5} } +\frac{1}{4*\sqrt{5} } *)\frac{2*\sqrt{10} }{15} \\=(\frac{2}{\sqrt{5} } -\frac{3}{2*\sqrt{5} } +\frac{1}{4*\sqrt{5} } *)\frac{2*\sqrt{10} }{15} \\=\\(\frac{2*4}{4\sqrt{5} } -\frac{3*2}{4*\sqrt{5} } +\frac{1}{4*\sqrt{5} } )*\frac{2*\sqrt{10} }{15} =\\(\frac{3}{4*\sqrt{5} } )*\frac{2*\sqrt{10} }{15} =\frac{\sqrt{2} }{10}[/tex]

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