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$=5\sqrt 2$
$=3\sqrt 3-2\sqrt 3$
$=\sqrt 3$
$=6\sqrt 2+8\sqrt 2-5\sqrt 2$
$=9\sqrt 2$
$=3\sqrt 3-2\sqrt 3+\frac {\sqrt 3}3$
$=\frac {4\sqrt 3}3$
$=6\sqrt {10}-\frac {\sqrt {10}}5-2×\frac {\sqrt {10}}{10}$
$=\frac {28}{5}\sqrt {10}$
$=\frac {\sqrt 2}2-\frac {4\sqrt 5}5-2×\frac 1{2\sqrt 2}+2\sqrt 5$
$=\frac 65\sqrt 5$
$=\sqrt {25×\frac x{5}}+\sqrt {\frac {25}{4}×\frac {4x}5}-\sqrt {x^2×\frac {20}x}$
$=\sqrt {5x}+\sqrt {5x}-\sqrt {20x}$
$=0$
$=\sqrt {\frac {4}{9}×9x}+\sqrt {36×\frac {x}4}-\sqrt {(2x)^2×\frac 1{2x}}$
$=\sqrt {4x}+\sqrt {9x}-\sqrt {2x}$
$=5\sqrt x-\sqrt {2x}$
$=\sqrt {\frac {9}{4}×4x}-(\sqrt {15×15×\frac x{25}}-2x)$
$=\sqrt {9x}-\sqrt {9x}+2x$
$=2x$
$=\sqrt {\frac {4}{9}x^2×18x}+\sqrt {(12x)^2×\frac x{8}}-\sqrt {x^6×\frac 2{x^3}}$
$=\sqrt {8x^3}+\sqrt {18x^3}-\sqrt {2x^3}$
$=2x\sqrt {2x}+3x\sqrt {2x}-x\sqrt {2x}$
$=4x\sqrt {2x}$
$=2ab\sqrt {3a}+\frac {ab\sqrt {3a}}2+2ab×\frac {\sqrt {3a}}2$
$=2ab\sqrt {3a}+\frac {ab}2\sqrt {3a}+ab\sqrt {3a}$
$=\frac 72ab\sqrt {3a}$
$=2\sqrt {a}-3a\sqrt {b}+10\sqrt {a}-2b×\frac {a\sqrt b}b$
$=2\sqrt a-3a\sqrt b+10\sqrt a-2a\sqrt b$
$=12\sqrt a-5a\sqrt b$
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