电子课本网 第111页

第111页

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$解​:(1)2\sqrt {12}=4\sqrt {3},\sqrt {27}=3\sqrt {3},​是同类二次根式$
$​(2)\sqrt {50}=5\sqrt {2},3\sqrt {8}=6\sqrt {2},​是同类二次根式$
$​(3)2\sqrt {1\frac {1}{2}}=\sqrt {6},2\sqrt {48}=8\sqrt {3},​不是同类二次根式.$
$解​:=(3\sqrt {5}+\sqrt {5})-(\sqrt {2}+4\sqrt {2})​$
$​ =4\sqrt {5}-5\sqrt {2}​$
$解:=5\sqrt {3}-15\sqrt {3}-3\sqrt {3}​$
$​ =-13\sqrt {3}​$
$解​:=6\sqrt {2}+3\sqrt {2}-\frac {3\sqrt {2}}{2}​$
$​ =\frac {15\sqrt {2}}{2}​$
$解:​=4\sqrt {2}-4\sqrt {3}-\frac {\sqrt {3}}{3}-3\sqrt {2}​$
$​ =\sqrt {2}-\frac {13\sqrt {3}}{3}​$
$解​:=4\sqrt {3}-\frac {4\sqrt {3}}{9}+12\sqrt {3}​$
$​ =\frac {140\sqrt {3}}{9}​$
$解:​=\frac {\sqrt {2}}{2}-\frac {2\sqrt {3}}{3}-\frac {\sqrt {2}}{4}+5\sqrt {3}​$
$​ =\frac {\sqrt {2}}{4}+\frac {13\sqrt {3}}{3}​$