3. 计算:
(1)$(\sqrt{\frac{1}{8}}-\sqrt{32})-(\frac{1}{\sqrt{2}}+2\sqrt{\frac{1}{2}})$;
(2)$(\frac{9}{\sqrt{27}}-\sqrt{18})-(4\sqrt{\frac{1}{2}}-\sqrt{12})$;
(3)$\sqrt{a}-2\sqrt{a^{2}b}+\sqrt{16a}-a\sqrt{\frac{b}{a}}$($a>0$,$b\geq0$)。
(1)$(\sqrt{\frac{1}{8}}-\sqrt{32})-(\frac{1}{\sqrt{2}}+2\sqrt{\frac{1}{2}})$;
(2)$(\frac{9}{\sqrt{27}}-\sqrt{18})-(4\sqrt{\frac{1}{2}}-\sqrt{12})$;
(3)$\sqrt{a}-2\sqrt{a^{2}b}+\sqrt{16a}-a\sqrt{\frac{b}{a}}$($a>0$,$b\geq0$)。
答案
1. 计算:
(1) $(\frac{1}{\sqrt{2}} + \sqrt{12}) \times \sqrt{6}$;
(2) $(2 + \sqrt{3})(1 - \sqrt{2})$;
(3) $(\sqrt{5} - \sqrt{3} + \sqrt{2}) \times \sqrt{2}$;
(4) $(\sqrt{12} - \sqrt{3} + 1) \times \sqrt{12}$。
(1) $(\frac{1}{\sqrt{2}} + \sqrt{12}) \times \sqrt{6}$;
(2) $(2 + \sqrt{3})(1 - \sqrt{2})$;
(3) $(\sqrt{5} - \sqrt{3} + \sqrt{2}) \times \sqrt{2}$;
(4) $(\sqrt{12} - \sqrt{3} + 1) \times \sqrt{12}$。
答案
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