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電子課本網(wǎng) 第105頁

第105頁

信息發(fā)布者:
$解:原式?=\frac {\sqrt{2y}}{3x\sqrt{2x}}?$
$?=\frac {\sqrt{xy}}{3x^2}?$
$解:原式=-\sqrt{(a-1)^2×(-\frac 1{a-1})}?$
$\ \ \ \ \ \ \ \ ?=-\sqrt{1-a}?$
$解:原式?=\frac {\sqrt{11}×\sqrt{3}}{\sqrt{3}×\sqrt{3}}?$
$?=\frac {\sqrt{33}}{3}$
$解:原式?=\frac {\sqrt{14}×\sqrt{6}}{\sqrt{6}×\sqrt{6}}?$
$?=\frac {\sqrt{21}}{3}?$
$解:原式?=\frac {3\sqrt{y}}{x\sqrt{y}×\sqrt{y}}?$
$?=\frac {3\sqrt{y}}{xy}?$
$解:?(1)\frac {1}{1+\sqrt{2}}=\frac {1-\sqrt{2}}{(1+\sqrt{2})(1-\sqrt{2})}=-(1-\sqrt{2})=-1+\sqrt{2}?$
$?(2)\frac 1{\sqrt{n}+\sqrt{n+1}}=-\sqrt{n}+\sqrt{n+1}?$
$?(3)?原式?=(-1+\sqrt{2}-\sqrt{2}+\sqrt{3}-\sqrt{3}+\sqrt{4}+...-\sqrt{2014}+\sqrt{2015})×(1+\sqrt{2015})?$
$? =(-1+\sqrt{2015})(1+\sqrt{2015})?$
$? =2015-1?$
$? =2014?$