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解​$:(3)$​原式​$=\sqrt {\frac {3}{2}×6}$​
​$=\sqrt {9}$​
​$= 3$​
解​$:(4)$​原式​$=\sqrt {5b×\frac {1}{20a²b}}$​
​$=\sqrt {\frac {1}{4a²}}$​
​$= \frac {1}{2a}$​
解​$:(1)$​原式​$=\frac {\sqrt {3}}{\sqrt {4}}$​
​$= \frac {\sqrt {3}}{2}$​
解​$:(2)$​原式​$=\frac {\sqrt {9}}{\sqrt {x²}}$​
​$= \frac {3}{x}$​
解​$:(3)$​原式​$=\frac {\sqrt {16b^4}}{\sqrt {a²}}$​
​$= \frac {4b^2}{a}$​
解​$:(1)$​原式​$=\sqrt {\frac {8}{9}}$​
​$=\frac {\sqrt {8}}{\sqrt {9}}$​
​$= \frac {2\sqrt {2}}{3}$​
解​$:(2)$​原式​$=\sqrt {\frac {25}{9}}$​
​$=\frac {\sqrt {25}}{\sqrt {9}}$​
​$= \frac {5}{3}$​
解​$:(3)$​原式​$=\frac {\sqrt {49}×\sqrt {4}}{\sqrt {81}}$​
​$= \frac {14}{9}$​
解​$:(4)$​原式​$=\frac {\sqrt {x^3}}{\sqrt {25y^4}}$​
​$= \frac {x\sqrt {x}}{5y^2}$​
解​$:(1)$​原式​$=-\sqrt {\frac {54}{3}}$​
​$=-\sqrt {18}$​
​$= -3\sqrt {2}$​
解​$:(2)$​原式​$=-\frac {1}{3}\sqrt {\frac {2}{98}}$​
​$=-\frac {1}{3}×\frac {1}{7}$​
​$= -\frac {1}{21}$​
解​$:(3)$​原式​$=\sqrt {\frac {16}{5}÷\frac {8}{5}}$​
​$= \sqrt {2}$​
解​$:(4)$​原式​$=\frac {1}{2}\sqrt {\frac {6ab}{3a}}$​
​$=\frac {1}{2}\sqrt {2b}$​
​$= \frac {\sqrt {2b}}{2}$​