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1. \(\frac{\sqrt{4693}}{\sqrt{13}}\)
2. \(-\frac{\sqrt{2890}}{\sqrt{10}}\)
3. \(-\sqrt{10}\cdot\sqrt{490}\)
4. \(-\sqrt{5}\cdot\sqrt{45}\)
5. \(-\sqrt{2}\cdot\sqrt{18}\)
6. \(-\sqrt{3}\cdot\sqrt{12}\)
7. \(-\frac{\sqrt{448}}{\sqrt{7}}\)
8. \(-\frac{\sqrt{150}}{\sqrt{6}}\)
9. \(\frac{\sqrt{1805}}{\sqrt{5}}\)
10. \(-\sqrt{5}\cdot\sqrt{720}\)
11. \(\frac{\sqrt{810}}{\sqrt{10}}\)
12. \(\sqrt{2}\cdot\sqrt{242}\)

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Verbetersleutel

1. \(\frac{\sqrt{4693}}{\sqrt{13}}=\sqrt{ \frac{4693}{13}}=\sqrt{ 361}=19\)
2. \(-\frac{\sqrt{2890}}{\sqrt{10}}=-\sqrt{ \frac{2890}{10}}=-\sqrt{ 289}=-17\)
3. \(-\sqrt{10}\cdot\sqrt{490}=-\sqrt{10 \cdot 490}=-\sqrt{10 \cdot 10 \cdot 49}=-\sqrt{10 \cdot 10} \cdot \sqrt{49}=-10\cdot7=-70\)
4. \(-\sqrt{5}\cdot\sqrt{45}=-\sqrt{5 \cdot 45}=-\sqrt{5 \cdot 5 \cdot 9}=-\sqrt{5 \cdot 5} \cdot \sqrt{9}=-5\cdot3=-15\)
5. \(-\sqrt{2}\cdot\sqrt{18}=-\sqrt{2 \cdot 18}=-\sqrt{2 \cdot 2 \cdot 9}=-\sqrt{2 \cdot 2} \cdot \sqrt{9}=-2\cdot3=-6\)
6. \(-\sqrt{3}\cdot\sqrt{12}=-\sqrt{3 \cdot 12}=-\sqrt{3 \cdot 3 \cdot 4}=-\sqrt{3 \cdot 3} \cdot \sqrt{4}=-3\cdot2=-6\)
7. \(-\frac{\sqrt{448}}{\sqrt{7}}=-\sqrt{ \frac{448}{7}}=-\sqrt{ 64}=-8\)
8. \(-\frac{\sqrt{150}}{\sqrt{6}}=-\sqrt{ \frac{150}{6}}=-\sqrt{ 25}=-5\)
9. \(\frac{\sqrt{1805}}{\sqrt{5}}=\sqrt{ \frac{1805}{5}}=\sqrt{ 361}=19\)
10. \(-\sqrt{5}\cdot\sqrt{720}=-\sqrt{5 \cdot 720}=-\sqrt{5 \cdot 5 \cdot 144}=-\sqrt{5 \cdot 5} \cdot \sqrt{144}=-5\cdot12=-60\)
11. \(\frac{\sqrt{810}}{\sqrt{10}}=\sqrt{ \frac{810}{10}}=\sqrt{ 81}=9\)
12. \(\sqrt{2}\cdot\sqrt{242}=\sqrt{2 \cdot 242}=\sqrt{2 \cdot 2 \cdot 121}=\sqrt{2 \cdot 2} \cdot \sqrt{121}=2\cdot11=22\)