第133页

信息发布者:
​$ B$​
​$ B$​
​$ C$​
​$ B$​
$-2\sqrt{3}$
$\frac{\sqrt{5}}{5}$
$\frac{3\sqrt{π}}{π}$
$\frac{11}{2}$
解:​$\sqrt {18}-4\sqrt {\frac {1}{2}}+\sqrt {24}÷\sqrt {3}$​
​$ =3\sqrt {2}-4×\frac {\sqrt {2}}{2}+\sqrt {8}$​
​$ =3\sqrt {2}-2\sqrt {2}+2\sqrt {2}$​
​$ =3\sqrt {2}$​
解:​$a\sqrt {\frac {1}{a}}+\sqrt {4b}-(\frac {\sqrt {a}}{2}-b\sqrt {\frac {1}{b}})$​
​$ =\sqrt {a}+2\sqrt {b}-\frac {\sqrt {a}}{2}+\sqrt {b}$​
​$ =\frac {\sqrt {a}}{2}+3\sqrt {b}$​
解:​$(\sqrt {18}+\sqrt {12})×(3\sqrt {2}-2\sqrt {3})$​
​$ =(3\sqrt {2}+2\sqrt {3})(3\sqrt {2}-2\sqrt {3})$​
​$ =(3\sqrt {2})^2-(2\sqrt {3})^2$​
​$ =18-12$​
​$ =6$​
解:​$(2+\sqrt {3})^2+(2-\sqrt {3})^2$​
​$ =(4+4\sqrt {3}+3)+(4-4\sqrt {3}+3)$​
​$ =7+4\sqrt {3}+7-4\sqrt {3}$​
​$ =14$​