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第101頁

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$解:原式?=\sqrt {(m-n)2}?$

$?=|m-n|?$

$?=m-n?$

$將?m=1+\sqrt {2}，n=1-\sqrt {2}?代入$

$原式?=1+\sqrt {2}-(1-\sqrt {2})?$

$?=2\sqrt {2}?$

$解:因?yàn)?0＜x＜1?$

$所以?\frac {1}{x}＞x?$

$原式?=\sqrt {x2+\frac {1}{x2}-2+4}-\sqrt {x2+\frac {1}{x2}+2-4}?$

$?=\sqrt {x2+\frac {1}{x2}+2}-\sqrt {x2+\frac {1}{x2}-2}?$

$?=\sqrt {(x+\frac {1}{x})2}-\sqrt {(x-\frac {1}{x})2}?$

$?=|x+\frac {1}{x}|-|x-\frac {1}{x}|?$

$?=x+\frac {1}{x}-(\frac {1}{x}-x)?$

$?=2x?$

$解:原式?=\sqrt {7×63}?$

$? =\sqrt {212}?$

$? =21?$

$解:原式?=\sqrt {27×\frac {1}{3}}?$

$? =\sqrt {9}?$

$? =3?$

$解:原式?=\sqrt {72}×\sqrt {52}?$

$?=7×5?$

$?=35$

$解:原式?=\sqrt {21×14×2}?$

$?=\sqrt {3×142}?$

$?=14\sqrt {3}?$

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