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1. \(\sqrt{2}\cdot\sqrt{98}\)
2. \(\sqrt{2}\cdot\sqrt{18}\)
3. \(-\frac{\sqrt{2925}}{\sqrt{13}}\)
4. \(-\sqrt{10}\cdot\sqrt{490}\)
5. \(-\sqrt{10}\cdot\sqrt{90}\)
6. \(\sqrt{5}\cdot\sqrt{20}\)
7. \(\frac{\sqrt{12}}{\sqrt{3}}\)
8. \(\sqrt{3}\cdot\sqrt{12}\)
9. \(-\frac{\sqrt{567}}{\sqrt{7}}\)
10. \(-\sqrt{3}\cdot\sqrt{147}\)
11. \(-\sqrt{2}\cdot\sqrt{50}\)
12. \(-\sqrt{6}\cdot\sqrt{294}\)

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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. \(\sqrt{2}\cdot\sqrt{18}=\sqrt{2 \cdot 18}=\sqrt{2 \cdot 2 \cdot 9}=\sqrt{2 \cdot 2} \cdot \sqrt{9}=2\cdot3=6\)
3. \(-\frac{\sqrt{2925}}{\sqrt{13}}=-\sqrt{ \frac{2925}{13}}=-\sqrt{ 225}=-15\)
4. \(-\sqrt{10}\cdot\sqrt{490}=-\sqrt{10 \cdot 490}=-\sqrt{10 \cdot 10 \cdot 49}=-\sqrt{10 \cdot 10} \cdot \sqrt{49}=-10\cdot7=-70\)
5. \(-\sqrt{10}\cdot\sqrt{90}=-\sqrt{10 \cdot 90}=-\sqrt{10 \cdot 10 \cdot 9}=-\sqrt{10 \cdot 10} \cdot \sqrt{9}=-10\cdot3=-30\)
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. \(\frac{\sqrt{12}}{\sqrt{3}}=\sqrt{ \frac{12}{3}}=\sqrt{ 4}=2\)
8. \(\sqrt{3}\cdot\sqrt{12}=\sqrt{3 \cdot 12}=\sqrt{3 \cdot 3 \cdot 4}=\sqrt{3 \cdot 3} \cdot \sqrt{4}=3\cdot2=6\)
9. \(-\frac{\sqrt{567}}{\sqrt{7}}=-\sqrt{ \frac{567}{7}}=-\sqrt{ 81}=-9\)
10. \(-\sqrt{3}\cdot\sqrt{147}=-\sqrt{3 \cdot 147}=-\sqrt{3 \cdot 3 \cdot 49}=-\sqrt{3 \cdot 3} \cdot \sqrt{49}=-3\cdot7=-21\)
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. \(-\sqrt{6}\cdot\sqrt{294}=-\sqrt{6 \cdot 294}=-\sqrt{6 \cdot 6 \cdot 49}=-\sqrt{6 \cdot 6} \cdot \sqrt{49}=-6\cdot7=-42\)