[tex]a) \frac{\sqrt{54} \sqrt{350} }{21} =\\\frac{\sqrt{18900} }{\sqrt{21} } =\\\sqrt{900}= \\30\\\\b) \frac{\sqrt{98} \sqrt{375} }{\sqrt{80} } =\\\frac{\sqrt{49}\sqrt{375} }{\sqrt{40} } =\\\frac{7\sqrt{75} }{\sqrt{8} } =\\\frac{35\sqrt{3} }{2\sqrt{2} } / *\frac{\sqrt{2} }{\sqrt{2} } =\\\frac{35\sqrt{6} }{4} \\\\c) \frac{\sqrt{52} \sqrt{363} }{\sqrt{30}\sqrt{130}} =\\\frac{\sqrt{18876} }{\sqrt{3900} } =\\\frac{\sqrt{121} }{\sqrt{25} } =\\\frac{11}{5} \\[/tex]
[tex]d) \frac{\sqrt{48} \sqrt{162} }{\sqrt{72} \sqrt{185} } =\\\frac{\sqrt{2}\sqrt{162} }{\sqrt{3} \sqrt{185} } =\\\frac{\sqrt{2}\sqrt{54} }{\sqrt{185} } =\\\frac{\sqrt{108} }{\sqrt{185} } =\\\frac{6\sqrt{3} }{\sqrt{185} } /*\frac{\sqrt{185} }{\sqrt{185} } =\\\frac{6\sqrt{555} }{185}[/tex]
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[tex]a) \frac{\sqrt{54} \sqrt{350} }{21} =\\\frac{\sqrt{18900} }{\sqrt{21} } =\\\sqrt{900}= \\30\\\\b) \frac{\sqrt{98} \sqrt{375} }{\sqrt{80} } =\\\frac{\sqrt{49}\sqrt{375} }{\sqrt{40} } =\\\frac{7\sqrt{75} }{\sqrt{8} } =\\\frac{35\sqrt{3} }{2\sqrt{2} } / *\frac{\sqrt{2} }{\sqrt{2} } =\\\frac{35\sqrt{6} }{4} \\\\c) \frac{\sqrt{52} \sqrt{363} }{\sqrt{30}\sqrt{130}} =\\\frac{\sqrt{18876} }{\sqrt{3900} } =\\\frac{\sqrt{121} }{\sqrt{25} } =\\\frac{11}{5} \\[/tex]
[tex]d) \frac{\sqrt{48} \sqrt{162} }{\sqrt{72} \sqrt{185} } =\\\frac{\sqrt{2}\sqrt{162} }{\sqrt{3} \sqrt{185} } =\\\frac{\sqrt{2}\sqrt{54} }{\sqrt{185} } =\\\frac{\sqrt{108} }{\sqrt{185} } =\\\frac{6\sqrt{3} }{\sqrt{185} } /*\frac{\sqrt{185} }{\sqrt{185} } =\\\frac{6\sqrt{555} }{185}[/tex]