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1. \(\sqrt{6}\cdot\sqrt{150}\)
2. \(-\sqrt{5}\cdot\sqrt{320}\)
3. \(\sqrt{6}\cdot\sqrt{726}\)
4. \(-\frac{\sqrt{567}}{\sqrt{7}}\)
5. \(\frac{\sqrt{52}}{\sqrt{13}}\)
6. \(\frac{\sqrt{2890}}{\sqrt{10}}\)
7. \(\sqrt{2}\cdot\sqrt{18}\)
8. \(\sqrt{10}\cdot\sqrt{490}\)
9. \(\frac{\sqrt{605}}{\sqrt{5}}\)
10. \(-\frac{\sqrt{90}}{\sqrt{10}}\)
11. \(-\frac{\sqrt{3564}}{\sqrt{11}}\)
12. \(\frac{\sqrt{726}}{\sqrt{6}}\)

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Verbetersleutel

1. \(\sqrt{6}\cdot\sqrt{150}=\sqrt{6 \cdot 150}=\sqrt{6 \cdot 6 \cdot 25}=\sqrt{6 \cdot 6} \cdot \sqrt{25}=6\cdot5=30\)
2. \(-\sqrt{5}\cdot\sqrt{320}=-\sqrt{5 \cdot 320}=-\sqrt{5 \cdot 5 \cdot 64}=-\sqrt{5 \cdot 5} \cdot \sqrt{64}=-5\cdot8=-40\)
3. \(\sqrt{6}\cdot\sqrt{726}=\sqrt{6 \cdot 726}=\sqrt{6 \cdot 6 \cdot 121}=\sqrt{6 \cdot 6} \cdot \sqrt{121}=6\cdot11=66\)
4. \(-\frac{\sqrt{567}}{\sqrt{7}}=-\sqrt{ \frac{567}{7}}=-\sqrt{ 81}=-9\)
5. \(\frac{\sqrt{52}}{\sqrt{13}}=\sqrt{ \frac{52}{13}}=\sqrt{ 4}=2\)
6. \(\frac{\sqrt{2890}}{\sqrt{10}}=\sqrt{ \frac{2890}{10}}=\sqrt{ 289}=17\)
7. \(\sqrt{2}\cdot\sqrt{18}=\sqrt{2 \cdot 18}=\sqrt{2 \cdot 2 \cdot 9}=\sqrt{2 \cdot 2} \cdot \sqrt{9}=2\cdot3=6\)
8. \(\sqrt{10}\cdot\sqrt{490}=\sqrt{10 \cdot 490}=\sqrt{10 \cdot 10 \cdot 49}=\sqrt{10 \cdot 10} \cdot \sqrt{49}=10\cdot7=70\)
9. \(\frac{\sqrt{605}}{\sqrt{5}}=\sqrt{ \frac{605}{5}}=\sqrt{ 121}=11\)
10. \(-\frac{\sqrt{90}}{\sqrt{10}}=-\sqrt{ \frac{90}{10}}=-\sqrt{ 9}=-3\)
11. \(-\frac{\sqrt{3564}}{\sqrt{11}}=-\sqrt{ \frac{3564}{11}}=-\sqrt{ 324}=-18\)
12. \(\frac{\sqrt{726}}{\sqrt{6}}=\sqrt{ \frac{726}{6}}=\sqrt{ 121}=11\)