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1. \(\frac{\sqrt{507}}{\sqrt{3}}\)
2. \(\frac{\sqrt{2890}}{\sqrt{10}}\)
3. \(-\sqrt{6}\cdot\sqrt{294}\)
4. \(\sqrt{2}\cdot\sqrt{162}\)
5. \(-\frac{\sqrt{4693}}{\sqrt{13}}\)
6. \(\sqrt{2}\cdot\sqrt{18}\)
7. \(-\sqrt{6}\cdot\sqrt{150}\)
8. \(\frac{\sqrt{1210}}{\sqrt{10}}\)
9. \(-\sqrt{5}\cdot\sqrt{405}\)
10. \(-\sqrt{2}\cdot\sqrt{242}\)
11. \(\frac{\sqrt{845}}{\sqrt{5}}\)
12. \(-\sqrt{2}\cdot\sqrt{98}\)

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Verbetersleutel

1. \(\frac{\sqrt{507}}{\sqrt{3}}=\sqrt{ \frac{507}{3}}=\sqrt{ 169}=13\)
2. \(\frac{\sqrt{2890}}{\sqrt{10}}=\sqrt{ \frac{2890}{10}}=\sqrt{ 289}=17\)
3. \(-\sqrt{6}\cdot\sqrt{294}=-\sqrt{6 \cdot 294}=-\sqrt{6 \cdot 6 \cdot 49}=-\sqrt{6 \cdot 6} \cdot \sqrt{49}=-6\cdot7=-42\)
4. \(\sqrt{2}\cdot\sqrt{162}=\sqrt{2 \cdot 162}=\sqrt{2 \cdot 2 \cdot 81}=\sqrt{2 \cdot 2} \cdot \sqrt{81}=2\cdot9=18\)
5. \(-\frac{\sqrt{4693}}{\sqrt{13}}=-\sqrt{ \frac{4693}{13}}=-\sqrt{ 361}=-19\)
6. \(\sqrt{2}\cdot\sqrt{18}=\sqrt{2 \cdot 18}=\sqrt{2 \cdot 2 \cdot 9}=\sqrt{2 \cdot 2} \cdot \sqrt{9}=2\cdot3=6\)
7. \(-\sqrt{6}\cdot\sqrt{150}=-\sqrt{6 \cdot 150}=-\sqrt{6 \cdot 6 \cdot 25}=-\sqrt{6 \cdot 6} \cdot \sqrt{25}=-6\cdot5=-30\)
8. \(\frac{\sqrt{1210}}{\sqrt{10}}=\sqrt{ \frac{1210}{10}}=\sqrt{ 121}=11\)
9. \(-\sqrt{5}\cdot\sqrt{405}=-\sqrt{5 \cdot 405}=-\sqrt{5 \cdot 5 \cdot 81}=-\sqrt{5 \cdot 5} \cdot \sqrt{81}=-5\cdot9=-45\)
10. \(-\sqrt{2}\cdot\sqrt{242}=-\sqrt{2 \cdot 242}=-\sqrt{2 \cdot 2 \cdot 121}=-\sqrt{2 \cdot 2} \cdot \sqrt{121}=-2\cdot11=-22\)
11. \(\frac{\sqrt{845}}{\sqrt{5}}=\sqrt{ \frac{845}{5}}=\sqrt{ 169}=13\)
12. \(-\sqrt{2}\cdot\sqrt{98}=-\sqrt{2 \cdot 98}=-\sqrt{2 \cdot 2 \cdot 49}=-\sqrt{2 \cdot 2} \cdot \sqrt{49}=-2\cdot7=-14\)