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1. \(-\sqrt{3}\cdot\sqrt{192}\)
2. \(-\sqrt{2}\cdot\sqrt{50}\)
3. \(-\frac{\sqrt{1734}}{\sqrt{6}}\)
4. \(\frac{\sqrt{1805}}{\sqrt{5}}\)
5. \(-\sqrt{6}\cdot\sqrt{150}\)
6. \(-\frac{\sqrt{3564}}{\sqrt{11}}\)
7. \(\sqrt{3}\cdot\sqrt{12}\)
8. \(\sqrt{5}\cdot\sqrt{720}\)
9. \(\sqrt{5}\cdot\sqrt{180}\)
10. \(\sqrt{6}\cdot\sqrt{726}\)
11. \(-\frac{\sqrt{726}}{\sqrt{6}}\)
12. \(\frac{\sqrt{1859}}{\sqrt{11}}\)

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Verbetersleutel

1. \(-\sqrt{3}\cdot\sqrt{192}=-\sqrt{3 \cdot 192}=-\sqrt{3 \cdot 3 \cdot 64}=-\sqrt{3 \cdot 3} \cdot \sqrt{64}=-3\cdot8=-24\)
2. \(-\sqrt{2}\cdot\sqrt{50}=-\sqrt{2 \cdot 50}=-\sqrt{2 \cdot 2 \cdot 25}=-\sqrt{2 \cdot 2} \cdot \sqrt{25}=-2\cdot5=-10\)
3. \(-\frac{\sqrt{1734}}{\sqrt{6}}=-\sqrt{ \frac{1734}{6}}=-\sqrt{ 289}=-17\)
4. \(\frac{\sqrt{1805}}{\sqrt{5}}=\sqrt{ \frac{1805}{5}}=\sqrt{ 361}=19\)
5. \(-\sqrt{6}\cdot\sqrt{150}=-\sqrt{6 \cdot 150}=-\sqrt{6 \cdot 6 \cdot 25}=-\sqrt{6 \cdot 6} \cdot \sqrt{25}=-6\cdot5=-30\)
6. \(-\frac{\sqrt{3564}}{\sqrt{11}}=-\sqrt{ \frac{3564}{11}}=-\sqrt{ 324}=-18\)
7. \(\sqrt{3}\cdot\sqrt{12}=\sqrt{3 \cdot 12}=\sqrt{3 \cdot 3 \cdot 4}=\sqrt{3 \cdot 3} \cdot \sqrt{4}=3\cdot2=6\)
8. \(\sqrt{5}\cdot\sqrt{720}=\sqrt{5 \cdot 720}=\sqrt{5 \cdot 5 \cdot 144}=\sqrt{5 \cdot 5} \cdot \sqrt{144}=5\cdot12=60\)
9. \(\sqrt{5}\cdot\sqrt{180}=\sqrt{5 \cdot 180}=\sqrt{5 \cdot 5 \cdot 36}=\sqrt{5 \cdot 5} \cdot \sqrt{36}=5\cdot6=30\)
10. \(\sqrt{6}\cdot\sqrt{726}=\sqrt{6 \cdot 726}=\sqrt{6 \cdot 6 \cdot 121}=\sqrt{6 \cdot 6} \cdot \sqrt{121}=6\cdot11=66\)
11. \(-\frac{\sqrt{726}}{\sqrt{6}}=-\sqrt{ \frac{726}{6}}=-\sqrt{ 121}=-11\)
12. \(\frac{\sqrt{1859}}{\sqrt{11}}=\sqrt{ \frac{1859}{11}}=\sqrt{ 169}=13\)