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1. \(-\sqrt{2}\cdot\sqrt{98}\)
2. \(\sqrt{2}\cdot\sqrt{162}\)
3. \(-\sqrt{3}\cdot\sqrt{300}\)
4. \(\frac{\sqrt{300}}{\sqrt{3}}\)
5. \(-\sqrt{3}\cdot\sqrt{48}\)
6. \(\sqrt{6}\cdot\sqrt{726}\)
7. \(\frac{\sqrt{832}}{\sqrt{13}}\)
8. \(-\frac{\sqrt{45}}{\sqrt{5}}\)
9. \(-\frac{\sqrt{490}}{\sqrt{10}}\)
10. \(-\sqrt{5}\cdot\sqrt{245}\)
11. \(-\sqrt{5}\cdot\sqrt{45}\)
12. \(-\sqrt{2}\cdot\sqrt{242}\)

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Verbetersleutel

1. \(-\sqrt{2}\cdot\sqrt{98}=-\sqrt{2 \cdot 98}=-\sqrt{2 \cdot 2 \cdot 49}=-\sqrt{2 \cdot 2} \cdot \sqrt{49}=-2\cdot7=-14\)
2. \(\sqrt{2}\cdot\sqrt{162}=\sqrt{2 \cdot 162}=\sqrt{2 \cdot 2 \cdot 81}=\sqrt{2 \cdot 2} \cdot \sqrt{81}=2\cdot9=18\)
3. \(-\sqrt{3}\cdot\sqrt{300}=-\sqrt{3 \cdot 300}=-\sqrt{3 \cdot 3 \cdot 100}=-\sqrt{3 \cdot 3} \cdot \sqrt{100}=-3\cdot10=-30\)
4. \(\frac{\sqrt{300}}{\sqrt{3}}=\sqrt{ \frac{300}{3}}=\sqrt{ 100}=10\)
5. \(-\sqrt{3}\cdot\sqrt{48}=-\sqrt{3 \cdot 48}=-\sqrt{3 \cdot 3 \cdot 16}=-\sqrt{3 \cdot 3} \cdot \sqrt{16}=-3\cdot4=-12\)
6. \(\sqrt{6}\cdot\sqrt{726}=\sqrt{6 \cdot 726}=\sqrt{6 \cdot 6 \cdot 121}=\sqrt{6 \cdot 6} \cdot \sqrt{121}=6\cdot11=66\)
7. \(\frac{\sqrt{832}}{\sqrt{13}}=\sqrt{ \frac{832}{13}}=\sqrt{ 64}=8\)
8. \(-\frac{\sqrt{45}}{\sqrt{5}}=-\sqrt{ \frac{45}{5}}=-\sqrt{ 9}=-3\)
9. \(-\frac{\sqrt{490}}{\sqrt{10}}=-\sqrt{ \frac{490}{10}}=-\sqrt{ 49}=-7\)
10. \(-\sqrt{5}\cdot\sqrt{245}=-\sqrt{5 \cdot 245}=-\sqrt{5 \cdot 5 \cdot 49}=-\sqrt{5 \cdot 5} \cdot \sqrt{49}=-5\cdot7=-35\)
11. \(-\sqrt{5}\cdot\sqrt{45}=-\sqrt{5 \cdot 45}=-\sqrt{5 \cdot 5 \cdot 9}=-\sqrt{5 \cdot 5} \cdot \sqrt{9}=-5\cdot3=-15\)
12. \(-\sqrt{2}\cdot\sqrt{242}=-\sqrt{2 \cdot 242}=-\sqrt{2 \cdot 2 \cdot 121}=-\sqrt{2 \cdot 2} \cdot \sqrt{121}=-2\cdot11=-22\)