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1. $\sqrt {3}-\sqrt {12}+\sqrt {27}$.
答案
$2\sqrt{3}$
2. $(\sqrt {18}-\sqrt {8})÷\sqrt {2}$.
答案
$1$
3. $\sqrt {108}-\sqrt {96}+\sqrt {54}-\sqrt {75}$.
答案
$\sqrt{3}-\sqrt{6}$
4. $(1+\sqrt {3})(\sqrt {2}-\sqrt {6})-(2\sqrt {3}-1)^{2}$.
答案
$-13 - 2\sqrt{2} + 4\sqrt{3}$
5. $(\sqrt {12}+\sqrt {3})×\sqrt {6}-\sqrt {2}(\sqrt {3}+1)(\sqrt {3}-1)$.
答案
$7\sqrt{2}$
四、解答题
化简:$\frac {n}{m}\sqrt {\frac {n}{2m^{3}}}\cdot (-\frac {1}{m}\sqrt {\frac {n^{3}}{m^{3}}})÷\sqrt {\frac {n}{2m^{3}}}(m＞0,n＞0)$.
化简:$\frac {n}{m}\sqrt {\frac {n}{2m^{3}}}\cdot (-\frac {1}{m}\sqrt {\frac {n^{3}}{m^{3}}})÷\sqrt {\frac {n}{2m^{3}}}(m＞0,n＞0)$.
答案
$-\frac{n^2\sqrt{mn}}{m^4}$
