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[tex]\sqrt{1\frac{1}{5}}\cdot\sqrt{2,5}\cdot\sqrt{1\frac{1}{8}}=\sqrt{1\frac{1}{5}\cdot2,5\cdot1\frac{1}{8}}=\sqrt{\frac{6}{5}\cdot2\frac{1}{2}\cdot\frac{9}{8}}=\\\\=\sqrt{\frac{\not6^3}{\not5_1}\cdot\frac{\not5^1}{\not2_1}\cdot\frac{9}{8}}=\sqrt{\frac{27}{8}}=\frac{\sqrt{27}}{\sqrt8}=\frac{\sqrt{9\cdot3}}{\sqrt{4\cdot2}}=\frac{3\sqrt3}{2\sqrt2}=\frac{3\sqrt{3\cdot2}}{2\sqrt{2^2}}=\frac{3\sqrt6}{2\cdot2}=\frac{3\sqrt6}{4}[/tex]
