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1. \(\sqrt{1440}\)
2. \(\sqrt{144}\)
3. \(\sqrt{1000}\)
4. \(\sqrt{432}\)
5. \(\sqrt{20}\)
6. \(\sqrt{864}\)
7. \(\sqrt{162}\)
8. \(\sqrt{242}\)
9. \(\sqrt{363}\)
10. \(\sqrt{32}\)
11. \(\sqrt{2304}\)
12. \(\sqrt{54}\)

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Verbetersleutel

1. \(\sqrt{1440}=\sqrt{144 \cdot 10}=\sqrt{144}\cdot \sqrt{10}=12\sqrt{10}\)
2. \(\sqrt{144}=12\)
3. \(\sqrt{1000}=\sqrt{100 \cdot 10}=\sqrt{100}\cdot \sqrt{10}=10\sqrt{10}\)
4. \(\sqrt{432}=\sqrt{144 \cdot 3}=\sqrt{144}\cdot \sqrt{3}=12\sqrt{3}\)
5. \(\sqrt{20}=\sqrt{4 \cdot 5}=\sqrt{4}\cdot \sqrt{5}=2\sqrt{5}\)
6. \(\sqrt{864}=\sqrt{144 \cdot 6}=\sqrt{144}\cdot \sqrt{6}=12\sqrt{6}\)
7. \(\sqrt{162}=\sqrt{81 \cdot 2}=\sqrt{81}\cdot \sqrt{2}=9\sqrt{2}\)
8. \(\sqrt{242}=\sqrt{121 \cdot 2}=\sqrt{121}\cdot \sqrt{2}=11\sqrt{2}\)
9. \(\sqrt{363}=\sqrt{121 \cdot 3}=\sqrt{121}\cdot \sqrt{3}=11\sqrt{3}\)
10. \(\sqrt{32}=\sqrt{16 \cdot 2}=\sqrt{16}\cdot \sqrt{2}=4\sqrt{2}\)
11. \(\sqrt{2304}=\sqrt{576 \cdot 4}=\sqrt{144 \cdot 4 \cdot 4}=\sqrt{144} \cdot \sqrt{4} \cdot \sqrt{4}=12 \cdot 2 \cdot 2=48\)
12. \(\sqrt{54}=\sqrt{9 \cdot 6}=\sqrt{9}\cdot \sqrt{6}=3\sqrt{6}\)