[tex](\sqrt{0,(3)} -\frac{2\sqrt{3} }{3} )\sqrt{3} -(\sqrt{0,(2)} -\frac{4}{3\sqrt{2} } )\sqrt{2} =\\(\sqrt{\frac{3}{9} } -\frac{2\sqrt{3} }{3} )\sqrt{3} -(\sqrt{\frac{2}{9} } -\frac{4}{3\sqrt{2} } )\sqrt{2} =\\(\sqrt{\frac{3}{9} } *\sqrt{3} -\frac{2\sqrt{3}*\sqrt{3} }{3} )-(\sqrt{\frac{2}{9} } -\frac{4}{3\sqrt{2} } )\sqrt{2} =\\[/tex]
[tex](\sqrt{\frac{9}{9} } -\frac{2*3}{3} )-(\sqrt{\frac{2}{9} } -\frac{2\sqrt{2} }{3} )\sqrt{2} =\\\sqrt{1} -2-(\sqrt{\frac{2}{9} } -\frac{2\sqrt{2} }{3} )\sqrt{2} =\\1-2-(\sqrt{\frac{2}{9} } *\sqrt{2} -\frac{2\sqrt{2} *\sqrt{2} }{3} )=\\-1-(\sqrt{\frac{4}{9} } -\frac{2*2}{3} )=\\-1-(\frac{2}{3} -\frac{4}{3} )=\\-1-(-\frac{2}{3} )=\\-1+\frac{2}{3} =\\-\frac{1}{3}[/tex]
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