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1. \(-\frac{\sqrt{338}}{\sqrt{2}}\)
2. \(\sqrt{6}\cdot\sqrt{726}\)
3. \(-\frac{\sqrt{4212}}{\sqrt{13}}\)
4. \(-\frac{\sqrt{175}}{\sqrt{7}}\)
5. \(\sqrt{2}\cdot\sqrt{242}\)
6. \(\sqrt{3}\cdot\sqrt{147}\)
7. \(-\sqrt{10}\cdot\sqrt{490}\)
8. \(\sqrt{5}\cdot\sqrt{605}\)
9. \(-\sqrt{2}\cdot\sqrt{18}\)
10. \(-\frac{\sqrt{726}}{\sqrt{6}}\)
11. \(\frac{\sqrt{1584}}{\sqrt{11}}\)
12. \(\frac{\sqrt{2548}}{\sqrt{13}}\)

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Verbetersleutel

1. \(-\frac{\sqrt{338}}{\sqrt{2}}=-\sqrt{ \frac{338}{2}}=-\sqrt{ 169}=-13\)
2. \(\sqrt{6}\cdot\sqrt{726}=\sqrt{6 \cdot 726}=\sqrt{6 \cdot 6 \cdot 121}=\sqrt{6 \cdot 6} \cdot \sqrt{121}=6\cdot11=66\)
3. \(-\frac{\sqrt{4212}}{\sqrt{13}}=-\sqrt{ \frac{4212}{13}}=-\sqrt{ 324}=-18\)
4. \(-\frac{\sqrt{175}}{\sqrt{7}}=-\sqrt{ \frac{175}{7}}=-\sqrt{ 25}=-5\)
5. \(\sqrt{2}\cdot\sqrt{242}=\sqrt{2 \cdot 242}=\sqrt{2 \cdot 2 \cdot 121}=\sqrt{2 \cdot 2} \cdot \sqrt{121}=2\cdot11=22\)
6. \(\sqrt{3}\cdot\sqrt{147}=\sqrt{3 \cdot 147}=\sqrt{3 \cdot 3 \cdot 49}=\sqrt{3 \cdot 3} \cdot \sqrt{49}=3\cdot7=21\)
7. \(-\sqrt{10}\cdot\sqrt{490}=-\sqrt{10 \cdot 490}=-\sqrt{10 \cdot 10 \cdot 49}=-\sqrt{10 \cdot 10} \cdot \sqrt{49}=-10\cdot7=-70\)
8. \(\sqrt{5}\cdot\sqrt{605}=\sqrt{5 \cdot 605}=\sqrt{5 \cdot 5 \cdot 121}=\sqrt{5 \cdot 5} \cdot \sqrt{121}=5\cdot11=55\)
9. \(-\sqrt{2}\cdot\sqrt{18}=-\sqrt{2 \cdot 18}=-\sqrt{2 \cdot 2 \cdot 9}=-\sqrt{2 \cdot 2} \cdot \sqrt{9}=-2\cdot3=-6\)
10. \(-\frac{\sqrt{726}}{\sqrt{6}}=-\sqrt{ \frac{726}{6}}=-\sqrt{ 121}=-11\)
11. \(\frac{\sqrt{1584}}{\sqrt{11}}=\sqrt{ \frac{1584}{11}}=\sqrt{ 144}=12\)
12. \(\frac{\sqrt{2548}}{\sqrt{13}}=\sqrt{ \frac{2548}{13}}=\sqrt{ 196}=14\)