Rút gọn các biểu thức sau
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Bài 5: Rút gọn các biểu thức sau
1) \((\sqrt{6 + 2\sqrt{2}})(\sqrt{3 - 2}\sqrt{3} + 2)\)
2) \(\sqrt{2 - \sqrt{3}}(\sqrt{6 - 2} (2 + \sqrt{3}))\)
3) \((3 + \sqrt{5})(\sqrt{10 - \sqrt{2}})\sqrt{3 - \sqrt{5}}\)
4) \(\sqrt{3} - \sqrt{5}(\sqrt{10 - \sqrt{2}})(3 + \sqrt{5})\)
5) \((\sqrt{14 - \sqrt{6}})(5 + \sqrt{21})\sqrt{5 - \sqrt{21}}\)
6) \((4 - \sqrt{15})(\sqrt{6 + \sqrt{10}}\sqrt{4 + \sqrt{15}})\)
7) \(2(4 + \sqrt{15})(\sqrt{10 - \sqrt{6}}\sqrt{4 - \sqrt{15}})\)
8) \((\sqrt{6 + \sqrt{2}})(4 - 2\sqrt{3})\sqrt{2 + \sqrt{3}}\)
9) \(\sqrt{6 + 2\sqrt{2}} \cdot \sqrt{3 - \sqrt{4 + 2\sqrt{3}}}\)
10) \(\sqrt{2\sqrt{5} + 10 - \sqrt{25 + 4\sqrt{6} - 2\sqrt{5}}}\)
Bài 5: Rút gọn các biểu thức sau
1) \((\sqrt{6 + 2\sqrt{2}})(\sqrt{3 - 2}\sqrt{3} + 2)\)
2) \(\sqrt{2 - \sqrt{3}}(\sqrt{6 - 2} (2 + \sqrt{3}))\)
3) \((3 + \sqrt{5})(\sqrt{10 - \sqrt{2}})\sqrt{3 - \sqrt{5}}\)
4) \(\sqrt{3} - \sqrt{5}(\sqrt{10 - \sqrt{2}})(3 + \sqrt{5})\)
5) \((\sqrt{14 - \sqrt{6}})(5 + \sqrt{21})\sqrt{5 - \sqrt{21}}\)
6) \((4 - \sqrt{15})(\sqrt{6 + \sqrt{10}}\sqrt{4 + \sqrt{15}})\)
7) \(2(4 + \sqrt{15})(\sqrt{10 - \sqrt{6}}\sqrt{4 - \sqrt{15}})\)
8) \((\sqrt{6 + \sqrt{2}})(4 - 2\sqrt{3})\sqrt{2 + \sqrt{3}}\)
9) \(\sqrt{6 + 2\sqrt{2}} \cdot \sqrt{3 - \sqrt{4 + 2\sqrt{3}}}\)
10) \(\sqrt{2\sqrt{5} + 10 - \sqrt{25 + 4\sqrt{6} - 2\sqrt{5}}}\)