Question

[Yết Thiên]

Tính:

1) \(\sqrt{4-2\sqrt{3}}\)

2) \(\sqrt{5+2\sqrt{6}}\)

3) \(\sqrt{7-2\sqrt{10}}\)

4) \(\sqrt{14-6\sqrt{6}}\)

5) \(\sqrt{8+2\sqrt{15}}\)

6) \(\sqrt{10-2\sqrt{21}}\)

7) \(\sqrt{11+2\sqrt{18}}\)

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Answer 1

[Lấp La Lấp Lánh]

1) \(=\sqrt{\left(\sqrt{3}-1\right)^2}=\sqrt{3}-1\)

2) \(=\sqrt{\left(\sqrt{3}+\sqrt{2}\right)^2}=\sqrt{3}+\sqrt{2}\)

3) \(=\sqrt{\left(\sqrt{5}-\sqrt{2}\right)^2}=\sqrt{5}-\sqrt{2}\)

5) \(=\sqrt{\left(\sqrt{5}+\sqrt{3}\right)^2}=\sqrt{5}+\sqrt{3}\)

6) \(=\sqrt{\left(\sqrt{7}-\sqrt{3}\right)^2}=\sqrt{7}-\sqrt{3}\)

7) \(=\sqrt{\left(3+\sqrt{2}\right)^2}=3+\sqrt{2}\)