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電子課本網(wǎng) › 第107頁

第107頁

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???$\sqrt{10}-3$???
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:原式???$=2\sqrt{3}-3\sqrt{3}-4\sqrt{3}$???
???$=-5\sqrt{3}$???
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???$=\sqrt{5}-2\sqrt{10}+\frac {\sqrt{10}}{5}+\frac {3\sqrt{5}}{5}-\frac {\sqrt{10}}{10}$???
???$=\frac {8\sqrt{5}}{5}-\frac {19\sqrt{10}}{10}$???
???$解：由題意得4x^2-4x+1+y^2-8y+16=0，即(2x-1)^2+(y-4)^2=0$???
???$∴2x-1=0，y-4=0即x=\frac 12，y=4$???
???$原式=\frac 23x×3\sqrt{x}-4x×\frac {\sqrt{xy}}x=2x\sqrt{x}-4\sqrt{xy}$???
???$=2×\frac {1}{2}×\sqrt{\frac {1}{2}}-4×\sqrt{\frac {1}{2}×4}$
$=\frac {\sqrt{2}}{2}-4\sqrt{2}$???
???$=-\frac {7\sqrt{2}}{2}$???
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