2. 计算:
(1) $(2\sqrt{3} - \sqrt{5})(\sqrt{3} + \sqrt{5})$;
(2) $(\frac{\sqrt{2}}{2} - \frac{\sqrt{3}}{2})(\frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}})$;
(3) $(\sqrt{3} + \sqrt{2})(5 - 2\sqrt{6})$;
(4) $(7 + \sqrt{10})(\sqrt{5} - \sqrt{2})$。
(1) $(2\sqrt{3} - \sqrt{5})(\sqrt{3} + \sqrt{5})$;
(2) $(\frac{\sqrt{2}}{2} - \frac{\sqrt{3}}{2})(\frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}})$;
(3) $(\sqrt{3} + \sqrt{2})(5 - 2\sqrt{6})$;
(4) $(7 + \sqrt{10})(\sqrt{5} - \sqrt{2})$。
答案
3. 计算:
(1) $(\sqrt{5} + \sqrt{2})(\sqrt{5} - \sqrt{2})$;
(2) $(2\sqrt{3} + \sqrt{7})(2\sqrt{3} - \sqrt{7})$;
(3) $(\sqrt{3} + \sqrt{2})^2$;
(4) $(\sqrt{a} - \sqrt{b})^2(a \geq 0, b \geq 0)$。
(1) $(\sqrt{5} + \sqrt{2})(\sqrt{5} - \sqrt{2})$;
(2) $(2\sqrt{3} + \sqrt{7})(2\sqrt{3} - \sqrt{7})$;
(3) $(\sqrt{3} + \sqrt{2})^2$;
(4) $(\sqrt{a} - \sqrt{b})^2(a \geq 0, b \geq 0)$。
答案
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