電子課本網(wǎng) › 第107頁

第107頁

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3

$???\sqrt{10}-3???$

$ 解:原式???=\frac {8\sqrt{6}}{3} $

$解:原式???=4\sqrt{3}+6\sqrt{3}???$

$???=10\sqrt{3}???$

$解:原式???=3\sqrt{3}-6×\frac {\sqrt{3}}{3}+5\sqrt{3}???$

$???=6\sqrt{3}???$

$解:原式???=2\sqrt{6}+\frac {\sqrt{2}}{2}-\frac {\sqrt{2}}{4}+\sqrt{6}???$

$???=3\sqrt{6}+\frac {\sqrt{2}}{4}???$

D

3

$???a=\sqrt{2}+1，b=-\sqrt{2}???$

$???解：由題意得4x^2-4x+1+y^2-8y+16=0，即(2x-1)^2+(y-4)^2=0???$

$???∴2x-1=0，y-4=0即x=\frac 12，y=4???$

$???原式=\frac 23x×3\sqrt{x}-4x×\frac {\sqrt{xy}}x=2x\sqrt{x}-4\sqrt{xy}???$

$???=2×\frac {1}{2}×\sqrt{\frac {1}{2}}-4×\sqrt{\frac {1}{2}×4}$

$=\frac {\sqrt{2}}{2}-4\sqrt{2}???$

$???=-\frac {7\sqrt{2}}{2}???$

$解:原式???=\sqrt{5}-2\sqrt{10}+\frac {\sqrt{10}}{5}+\frac {3\sqrt{5}}{5}-\frac {\sqrt{10}}{10}???$

$???=\frac {8\sqrt{5}}{5}-\frac {19\sqrt{10}}{10}???$

$解:原式???=3\sqrt{5}+3\sqrt{3}+\frac {2\sqrt{3}}{3}-5\sqrt{5}???$

$???=-2\sqrt{5}+\frac {11\sqrt{3}}{3}???$

$解:原式???=2\sqrt{3}-3\sqrt{3}-4\sqrt{3}???$

$???=-5\sqrt{3}?$

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