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第17页

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$=5\sqrt 2$

$=3\sqrt 3-2\sqrt 3$

$=\sqrt 3$

$=6\sqrt 2+8\sqrt 2-5\sqrt 2$

$=9\sqrt 2$

$=3\sqrt 3-2\sqrt 3+\frac {\sqrt 3}3$

$=\frac {4\sqrt 3}3$

$=6\sqrt {10}-\frac {\sqrt {10}}5-\frac {\sqrt {10}}5$

$=\frac {28}5 \sqrt {10}$

$=\frac {\sqrt 2}2-\frac {4\sqrt 5}5-2×\frac {\sqrt 2}4+2\sqrt 5$

$=\frac {\sqrt 2}2-\frac {4\sqrt 5}5-\frac {\sqrt 2}2+2\sqrt 5$

$=\frac {6\sqrt 5}5$

$=5×\frac {\sqrt {5x}}5+\frac 52×\frac {2\sqrt {5x}}5-x×\frac {2\sqrt {5x}}{x}$

$=\sqrt {5x}+\sqrt {5x}-2\sqrt {5x}$

$=0$

$=\frac 23×3\sqrt x+6×\frac {\sqrt x}2-2x×\frac {\sqrt {2x}}{2x}$

$=2\sqrt x+3\sqrt x-\sqrt {2x}$

$=5\sqrt x- \sqrt {2x}$

$=\frac 32×2\sqrt x-(15×\frac {\sqrt x}5-2x)$

$=3\sqrt x-3\sqrt x+2x$

$=2x$

$=\frac 23x×3\sqrt {2x}+12x×\frac {\sqrt {2x}}4-x^3×\frac {\sqrt {2x}}{x^2}$

$=2x\sqrt {2x}+3x\sqrt {2x}-x\sqrt {2x}$

$=4x \sqrt {2x}$

$=2a×b\sqrt {3a}+\frac b 6×3a\sqrt {3a}+2ab×\frac {\sqrt {3a}}2$

$=2ab\sqrt {3a}+\frac {ab}2\sqrt {3a}+ab\sqrt {3a}$

$=\frac 72ab \sqrt {3a}$

$=2\sqrt a-3a\sqrt b+10\sqrt a-2b×\frac {a\sqrt b}{b}$

$=2\sqrt a-3a\sqrt b+10\sqrt a-2a\sqrt b$

$=12\sqrt {a}-5a\sqrt b$