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1. \(\sqrt{3}\cdot\sqrt{48}\)
2. \(-\sqrt{6}\cdot\sqrt{294}\)
3. \(-\sqrt{6}\cdot\sqrt{150}\)
4. \(\frac{\sqrt{1210}}{\sqrt{10}}\)
5. \(\frac{\sqrt{980}}{\sqrt{5}}\)
6. \(-\sqrt{5}\cdot\sqrt{20}\)
7. \(-\sqrt{5}\cdot\sqrt{80}\)
8. \(-\frac{\sqrt{150}}{\sqrt{6}}\)
9. \(-\frac{\sqrt{845}}{\sqrt{5}}\)
10. \(\frac{\sqrt{48}}{\sqrt{3}}\)
11. \(\sqrt{5}\cdot\sqrt{180}\)
12. \(-\sqrt{5}\cdot\sqrt{320}\)

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Verbetersleutel

1. \(\sqrt{3}\cdot\sqrt{48}=\sqrt{3 \cdot 48}=\sqrt{3 \cdot 3 \cdot 16}=\sqrt{3 \cdot 3} \cdot \sqrt{16}=3\cdot4=12\)
2. \(-\sqrt{6}\cdot\sqrt{294}=-\sqrt{6 \cdot 294}=-\sqrt{6 \cdot 6 \cdot 49}=-\sqrt{6 \cdot 6} \cdot \sqrt{49}=-6\cdot7=-42\)
3. \(-\sqrt{6}\cdot\sqrt{150}=-\sqrt{6 \cdot 150}=-\sqrt{6 \cdot 6 \cdot 25}=-\sqrt{6 \cdot 6} \cdot \sqrt{25}=-6\cdot5=-30\)
4. \(\frac{\sqrt{1210}}{\sqrt{10}}=\sqrt{ \frac{1210}{10}}=\sqrt{ 121}=11\)
5. \(\frac{\sqrt{980}}{\sqrt{5}}=\sqrt{ \frac{980}{5}}=\sqrt{ 196}=14\)
6. \(-\sqrt{5}\cdot\sqrt{20}=-\sqrt{5 \cdot 20}=-\sqrt{5 \cdot 5 \cdot 4}=-\sqrt{5 \cdot 5} \cdot \sqrt{4}=-5\cdot2=-10\)
7. \(-\sqrt{5}\cdot\sqrt{80}=-\sqrt{5 \cdot 80}=-\sqrt{5 \cdot 5 \cdot 16}=-\sqrt{5 \cdot 5} \cdot \sqrt{16}=-5\cdot4=-20\)
8. \(-\frac{\sqrt{150}}{\sqrt{6}}=-\sqrt{ \frac{150}{6}}=-\sqrt{ 25}=-5\)
9. \(-\frac{\sqrt{845}}{\sqrt{5}}=-\sqrt{ \frac{845}{5}}=-\sqrt{ 169}=-13\)
10. \(\frac{\sqrt{48}}{\sqrt{3}}=\sqrt{ \frac{48}{3}}=\sqrt{ 16}=4\)
11. \(\sqrt{5}\cdot\sqrt{180}=\sqrt{5 \cdot 180}=\sqrt{5 \cdot 5 \cdot 36}=\sqrt{5 \cdot 5} \cdot \sqrt{36}=5\cdot6=30\)
12. \(-\sqrt{5}\cdot\sqrt{320}=-\sqrt{5 \cdot 320}=-\sqrt{5 \cdot 5 \cdot 64}=-\sqrt{5 \cdot 5} \cdot \sqrt{64}=-5\cdot8=-40\)