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第118页

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$-4或-1$

$ \begin{aligned}解:原式&=\frac {2}{\sqrt 3} \\ &=\frac{2\sqrt{3}}{3} \\ \end{aligned}$

$解:原式=\frac{\sqrt{7}}{7}$

$ \begin{aligned}解:原式&=\sqrt {\frac 35} \\ &=\frac{\sqrt{15}}{5} \\ \end{aligned}$

$ \begin{aligned}解:原式&=\frac {\sqrt 3}{2\sqrt 2} \\ &=\frac{\sqrt{6}}{4} \\ \end{aligned}$

$ \begin{aligned} 解:原式&=\sqrt {\frac {25}{12}} \\ &=\frac {5}{2\sqrt 3} \\ &=\frac{5\sqrt{3}}{6} \\ \end{aligned}$

$ \begin{aligned}解:原式&=\frac {3\sqrt 2}{\sqrt a} \\ &=\frac {3\sqrt 2a}{a} \\ \end{aligned}$

$ \begin{aligned}解:原式&=\frac {3×\sqrt 3}{\sqrt 3×\sqrt 3} \\ &=\sqrt{3} \\ \end{aligned}$

$ \begin{aligned}解:原式&=\frac {2×\sqrt 6}{\sqrt 6×\sqrt 6} \\ &=\frac{\sqrt{6}}{3} \\ \end{aligned}$

$解:原式=\frac {\sqrt 3}{3\sqrt 6} $

$\hspace{1.4cm}=\frac {\sqrt 3×\sqrt 6}{3\sqrt 6×\sqrt 6} $

$\hspace{1.4cm}=\frac{\sqrt{2}}{6} $

$ 解:原式=\frac {\sqrt {5y×2x}}{\sqrt {18x^3×2x}}$

$\hspace{1.4cm}=\frac {\sqrt {10xy}}{\sqrt {36x^4}}$

$\hspace{1.4cm}=\frac {\sqrt {10xy}}{6x^2}$

$ \begin{aligned} 解:原式&=\frac {2\sqrt 2×\sqrt a}{\sqrt {2a}×\sqrt a} \\ &=\frac {2\sqrt a}{a} \\ \end{aligned}$

$ \begin{aligned} 解:原式&=\frac {6a×\sqrt {12a}}{\sqrt {12a}×\sqrt {12a}} \\ &=\frac {6a×2\sqrt {3a}}{12a} \\ &=\sqrt{3a} \\ \end{aligned}$