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1. \(-\sqrt{5}\cdot\sqrt{180}\)
2. \(\frac{\sqrt{325}}{\sqrt{13}}\)
3. \(-\sqrt{2}\cdot\sqrt{162}\)
4. \(-\frac{\sqrt{300}}{\sqrt{3}}\)
5. \(\frac{\sqrt{48}}{\sqrt{3}}\)
6. \(-\sqrt{10}\cdot\sqrt{90}\)
7. \(-\frac{\sqrt{726}}{\sqrt{6}}\)
8. \(-\sqrt{10}\cdot\sqrt{490}\)
9. \(\sqrt{3}\cdot\sqrt{48}\)
10. \(\frac{\sqrt{1100}}{\sqrt{11}}\)
11. \(-\frac{\sqrt{1083}}{\sqrt{3}}\)
12. \(\sqrt{5}\cdot\sqrt{605}\)

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Verbetersleutel

1. \(-\sqrt{5}\cdot\sqrt{180}=-\sqrt{5 \cdot 180}=-\sqrt{5 \cdot 5 \cdot 36}=-\sqrt{5 \cdot 5} \cdot \sqrt{36}=-5\cdot6=-30\)
2. \(\frac{\sqrt{325}}{\sqrt{13}}=\sqrt{ \frac{325}{13}}=\sqrt{ 25}=5\)
3. \(-\sqrt{2}\cdot\sqrt{162}=-\sqrt{2 \cdot 162}=-\sqrt{2 \cdot 2 \cdot 81}=-\sqrt{2 \cdot 2} \cdot \sqrt{81}=-2\cdot9=-18\)
4. \(-\frac{\sqrt{300}}{\sqrt{3}}=-\sqrt{ \frac{300}{3}}=-\sqrt{ 100}=-10\)
5. \(\frac{\sqrt{48}}{\sqrt{3}}=\sqrt{ \frac{48}{3}}=\sqrt{ 16}=4\)
6. \(-\sqrt{10}\cdot\sqrt{90}=-\sqrt{10 \cdot 90}=-\sqrt{10 \cdot 10 \cdot 9}=-\sqrt{10 \cdot 10} \cdot \sqrt{9}=-10\cdot3=-30\)
7. \(-\frac{\sqrt{726}}{\sqrt{6}}=-\sqrt{ \frac{726}{6}}=-\sqrt{ 121}=-11\)
8. \(-\sqrt{10}\cdot\sqrt{490}=-\sqrt{10 \cdot 490}=-\sqrt{10 \cdot 10 \cdot 49}=-\sqrt{10 \cdot 10} \cdot \sqrt{49}=-10\cdot7=-70\)
9. \(\sqrt{3}\cdot\sqrt{48}=\sqrt{3 \cdot 48}=\sqrt{3 \cdot 3 \cdot 16}=\sqrt{3 \cdot 3} \cdot \sqrt{16}=3\cdot4=12\)
10. \(\frac{\sqrt{1100}}{\sqrt{11}}=\sqrt{ \frac{1100}{11}}=\sqrt{ 100}=10\)
11. \(-\frac{\sqrt{1083}}{\sqrt{3}}=-\sqrt{ \frac{1083}{3}}=-\sqrt{ 361}=-19\)
12. \(\sqrt{5}\cdot\sqrt{605}=\sqrt{5 \cdot 605}=\sqrt{5 \cdot 5 \cdot 121}=\sqrt{5 \cdot 5} \cdot \sqrt{121}=5\cdot11=55\)