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1. \(\sqrt{100}\)
2. \(\sqrt{1089}\)
3. \(\sqrt{784}\)
4. \(\sqrt{18}\)
5. \(\sqrt{363}\)
6. \(\sqrt{245}\)
7. \(\sqrt{605}\)
8. \(\sqrt{1296}\)
9. \(\sqrt{500}\)
10. \(\sqrt{576}\)
11. \(\sqrt{1440}\)
12. \(\sqrt{1936}\)

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Verbetersleutel

1. \(\sqrt{100}=10\)
2. \(\sqrt{1089}=\sqrt{121 \cdot 9}=\sqrt{121} \cdot \sqrt{9}=11 \cdot 3=33\)
3. \(\sqrt{784}=\sqrt{196 \cdot 4}=\sqrt{196} \cdot \sqrt{4}=14 \cdot 2=28\)
4. \(\sqrt{18}=\sqrt{9 \cdot 2}=\sqrt{9}\cdot \sqrt{2}=3\sqrt{2}\)
5. \(\sqrt{363}=\sqrt{121 \cdot 3}=\sqrt{121}\cdot \sqrt{3}=11\sqrt{3}\)
6. \(\sqrt{245}=\sqrt{49 \cdot 5}=\sqrt{49}\cdot \sqrt{5}=7\sqrt{5}\)
7. \(\sqrt{605}=\sqrt{121 \cdot 5}=\sqrt{121}\cdot \sqrt{5}=11\sqrt{5}\)
8. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
9. \(\sqrt{500}=\sqrt{100 \cdot 5}=\sqrt{100}\cdot \sqrt{5}=10\sqrt{5}\)
10. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
11. \(\sqrt{1440}=\sqrt{144 \cdot 10}=\sqrt{144}\cdot \sqrt{10}=12\sqrt{10}\)
12. \(\sqrt{1936}=\sqrt{484 \cdot 4}=\sqrt{121 \cdot 4 \cdot 4}=\sqrt{121} \cdot \sqrt{4} \cdot \sqrt{4}=11 \cdot 2 \cdot 2=44\)