电子课本网 第111页

第111页

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$解:原式​=\sqrt {16}×\sqrt {49}​$
$​ =4×7​$
$​ =28​$
$解:原式​=\sqrt {144}×\sqrt {9}​$
$​ =12×3​$
$​ =36​$
$解:原式​=\sqrt {25}×\sqrt {2a}​$
$​ =5\sqrt {2a}​$
$解:原式​=\sqrt {9a²b²}\sqrt {a}​$
$​ =3ab\sqrt {a}​$
$解:​\sqrt {32}×2\sqrt {2}=2\sqrt {64}=16(\mathrm {cm}²)​$
$解:原式​=2\sqrt {3}×3\sqrt {3}​$
$​ =6×3​$
$​ =18​$
$解:原式​=-2×\sqrt {400}​$
$​ =-2×20​$
$​ =-40​$
$解:原式​=\sqrt {20a×\frac {a³}{5}}​$
$​ =\sqrt {4a^4}​$
$​ =2a²​$
$解:原式​=\sqrt {0.4}×\sqrt {0.4}×\sqrt {9}​$
$​ =0.4×3​$
$​ =1.2​$
$解:原式​=2\sqrt {2}×\sqrt {7}×\sqrt {7}×\sqrt {2}​$
$​ =4×7​$
$​ =28 ​$
$解:原式​=\sqrt {x^4y²}​$
$​ =x²y​$
$解:∵点​O​是菱形​ABCD​的两对角线交点$
$∴​AC⊥BD​$
$​OA =\frac {1}{2}AC= 2\sqrt {3},​​OB=\frac {1}{2}BD= 4​$
$∴​AB=\sqrt {OA²+OB²}=\sqrt {28}=2\sqrt {7}​$
$∴​C_{菱形ABCD}=4AB= 8\sqrt {7}​$
$解:原式​=\sqrt {100}×\sqrt {0.1}​$
$​ =\sqrt {100×0.1}​$
$​ =\sqrt {10}​$
$解:原式​=\sqrt {9×\frac {1}{3}}​$
$​ =\sqrt {3}​$