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1. \(\frac{\sqrt{75}}{\sqrt{3}}\)
2. \(-\frac{\sqrt{2023}}{\sqrt{7}}\)
3. \(-\frac{\sqrt{2475}}{\sqrt{11}}\)
4. \(-\sqrt{5}\cdot\sqrt{20}\)
5. \(-\sqrt{6}\cdot\sqrt{294}\)
6. \(-\frac{\sqrt{2548}}{\sqrt{13}}\)
7. \(-\sqrt{2}\cdot\sqrt{242}\)
8. \(-\sqrt{6}\cdot\sqrt{150}\)
9. \(-\frac{\sqrt{1573}}{\sqrt{13}}\)
10. \(-\frac{\sqrt{180}}{\sqrt{5}}\)
11. \(\sqrt{2}\cdot\sqrt{50}\)
12. \(\sqrt{2}\cdot\sqrt{98}\)

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Verbetersleutel

1. \(\frac{\sqrt{75}}{\sqrt{3}}=\sqrt{ \frac{75}{3}}=\sqrt{ 25}=5\)
2. \(-\frac{\sqrt{2023}}{\sqrt{7}}=-\sqrt{ \frac{2023}{7}}=-\sqrt{ 289}=-17\)
3. \(-\frac{\sqrt{2475}}{\sqrt{11}}=-\sqrt{ \frac{2475}{11}}=-\sqrt{ 225}=-15\)
4. \(-\sqrt{5}\cdot\sqrt{20}=-\sqrt{5 \cdot 20}=-\sqrt{5 \cdot 5 \cdot 4}=-\sqrt{5 \cdot 5} \cdot \sqrt{4}=-5\cdot2=-10\)
5. \(-\sqrt{6}\cdot\sqrt{294}=-\sqrt{6 \cdot 294}=-\sqrt{6 \cdot 6 \cdot 49}=-\sqrt{6 \cdot 6} \cdot \sqrt{49}=-6\cdot7=-42\)
6. \(-\frac{\sqrt{2548}}{\sqrt{13}}=-\sqrt{ \frac{2548}{13}}=-\sqrt{ 196}=-14\)
7. \(-\sqrt{2}\cdot\sqrt{242}=-\sqrt{2 \cdot 242}=-\sqrt{2 \cdot 2 \cdot 121}=-\sqrt{2 \cdot 2} \cdot \sqrt{121}=-2\cdot11=-22\)
8. \(-\sqrt{6}\cdot\sqrt{150}=-\sqrt{6 \cdot 150}=-\sqrt{6 \cdot 6 \cdot 25}=-\sqrt{6 \cdot 6} \cdot \sqrt{25}=-6\cdot5=-30\)
9. \(-\frac{\sqrt{1573}}{\sqrt{13}}=-\sqrt{ \frac{1573}{13}}=-\sqrt{ 121}=-11\)
10. \(-\frac{\sqrt{180}}{\sqrt{5}}=-\sqrt{ \frac{180}{5}}=-\sqrt{ 36}=-6\)
11. \(\sqrt{2}\cdot\sqrt{50}=\sqrt{2 \cdot 50}=\sqrt{2 \cdot 2 \cdot 25}=\sqrt{2 \cdot 2} \cdot \sqrt{25}=2\cdot5=10\)
12. \(\sqrt{2}\cdot\sqrt{98}=\sqrt{2 \cdot 98}=\sqrt{2 \cdot 2 \cdot 49}=\sqrt{2 \cdot 2} \cdot \sqrt{49}=2\cdot7=14\)