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$=\sqrt {3×2÷30}$
$=\sqrt {\frac {1}{5}}$
$=\frac {\sqrt 5}5$
$=\sqrt {15÷30×\frac {4}{3}}$
$=\sqrt {\frac {2}{3}}$
$=\frac {\sqrt 6}3$
$=\sqrt {6×27÷\frac {1}{2}}$
$=\sqrt {2×3×27×2}$
$=18$
$=\sqrt {18÷\frac {3}{4}×\frac {4}{3}}$
$=\sqrt {32}$
$=4\sqrt 2$
$=2\sqrt {6}×\frac 4{\sqrt 2}×\frac 1{4\sqrt 3}$
$=2$
$=\frac 23×3\sqrt 2×\frac 1{-\sqrt 3}×\frac 13×3\sqrt 3$
$=-2\sqrt 2$
$=\frac 32×\frac 12×\sqrt {30×\frac {8}{3}×\frac {2}{5}}$
$=\frac {3}{4} \sqrt {32}$
$=3\sqrt 2$
$=\sqrt {\frac {10}{3}}÷\sqrt {\frac {4}{25}×\frac {7}{3}}×\sqrt {16×\frac {7}{5}}$
$=\sqrt {\frac {10}{3}×\frac {75}{28}×16×\frac {7}{5}}$
$=\sqrt {200}$
$=10\sqrt 2$
$=\sqrt {a^3×ab÷9a^2b^3}$
$=\frac {a}{3b}$
$=\sqrt {3a^2}÷\sqrt {9×\frac {a}2}×\sqrt {\frac 14×\frac {2a}3}$
$=\sqrt {3a^2×\frac 2{9a}×\frac {a}6}$
$=\sqrt {\frac {a^2}9}$
$=\frac {a}3$
$=\sqrt {xy^2÷5y×15x}$
$=\sqrt {3x^2y}$
$=x\sqrt {3y}$
$=\frac 2{b}×b^2\sqrt {ab}×(-\frac 32a\sqrt {ab})÷3\frac {\sqrt {ab}}a$
$=2b\sqrt {ab}×(-\frac 32a)\sqrt {ab}÷3\frac {\sqrt {ab}}a$
$=-a^2b\sqrt {ab}$
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