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第113頁

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C

$解：原式?=\sqrt {100×3}?$

$? =10\sqrt {3}?$

$解：原式?=\sqrt {5×3×4×5}?$

$? =10\sqrt {3}?$

$解：原式?=2b\sqrt {a}?$

$解：原式?=\sqrt {a2(a+2)}?$

$?=a\sqrt {a+2}?$

$解：原式?=-3ab\sqrt ?$

$解：原式?=\sqrt {(2n-2)2}?$

$? =2n-2?$

$解：?(1)?原式?=\sqrt {10×\frac {2}{5}}=\sqrt {4}=2?$

$?(2)?原式?=-\sqrt {\frac {2}{3}×48}=-\sqrt {32}=-4\sqrt {2}?$

$(3)?原式?=\sqrt {ab×\frac {b3}{a}}=\sqrt {b^4}=b2?$

$?(4)?原式?=a2×\frac {1}{a}×\sqrt {2b^5×8b}=a\sqrt {16b^6}=4ab3?$

$解：?(1)?原式?=\sqrt {3ab×a}=a\sqrt {3b}?$

$將?a=\frac {1}{2}，??b=3?代入得原式?=\frac {1}{2}×\sqrt {3×3}=\frac {3}{2}?$

$?(2)?原式?=\sqrt {ab3×2b}=b2\sqrt {2a}?$

$將?a=\frac {1}{2}，??b=3?代入原式?=32×\sqrt {2×\frac {1}{2}}=9?$

$解：?V=2\sqrt {6}×\sqrt {3}×\sqrt {2}=2\sqrt {6×3×2}=12(\mathrm {cm}3)?$

$解：?(1)2\sqrt {12}=\sqrt {2^2×12}=\sqrt {48}?$

$∵?48＞27?$

$∴?2\sqrt {12}＞\sqrt {27}?$

$?(2)2\sqrt {3}=\sqrt {2^2×3}=\sqrt {12}，??3\sqrt {2}=\sqrt {3^2×2}=\sqrt {18}?$

$∵?12＜18?$

$∴?2\sqrt {3}＜3\sqrt {2}?$

$解：?\sqrt {3}×\sqrt {\frac {1}{3}}=1?$

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