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電子課本網(wǎng) 第101頁

第101頁

信息發(fā)布者:
解:原式?$=\sqrt {(m-n)2}$?
?$=|m-n|$?
?$=m-n$?
將?$m=1+\sqrt {2},n=1-\sqrt {2}$?代入
原式?$=1+\sqrt {2}-(1-\sqrt {2})$?
?$=2\sqrt {2}$?

解:因為?$0<x<1$?
所以?$\frac {1}{x}>x$?
原式?$=\sqrt {x2+\frac {1}{x2}-2+4}-\sqrt {x2+\frac {1}{x2}+2-4}$?
?$=\sqrt {x2+\frac {1}{x2}+2}-\sqrt {x2+\frac {1}{x2}-2}$?
?$=\sqrt {(x+\frac {1}{x})2}-\sqrt {(x-\frac {1}{x})2}$?
?$=|x+\frac {1}{x}|-|x-\frac {1}{x}|$?
?$=x+\frac {1}{x}-(\frac {1}{x}-x)$?
?$=2x$?


解:原式?$=\sqrt {7×63}$?
?$ =\sqrt {212}$?
?$ =21$?
解:原式?$=\sqrt {27×\frac {1}{3}}$?
?$ =\sqrt {9}$?
?$ =3$?
解:原式?$=\sqrt {72}×\sqrt {52}$?
?$ =7×5$?
?$ =35$?

解:原式?$=\sqrt {21×14×2}$?
?$ =\sqrt {3×142}$?
?$ =14\sqrt {3}$?