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1. \(\sqrt{432}\)
2. \(\sqrt{576}\)
3. \(\sqrt{810}\)
4. \(\sqrt{2304}\)
5. \(\sqrt{216}\)
6. \(\sqrt{405}\)
7. \(\sqrt{1210}\)
8. \(\sqrt{36}\)
9. \(\sqrt{27}\)
10. \(\sqrt{300}\)
11. \(\sqrt{12}\)
12. \(\sqrt{147}\)

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Verbetersleutel

1. \(\sqrt{432}=\sqrt{144 \cdot 3}=\sqrt{144}\cdot \sqrt{3}=12\sqrt{3}\)
2. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
3. \(\sqrt{810}=\sqrt{81 \cdot 10}=\sqrt{81}\cdot \sqrt{10}=9\sqrt{10}\)
4. \(\sqrt{2304}=\sqrt{576 \cdot 4}=\sqrt{144 \cdot 4 \cdot 4}=\sqrt{144} \cdot \sqrt{4} \cdot \sqrt{4}=12 \cdot 2 \cdot 2=48\)
5. \(\sqrt{216}=\sqrt{36 \cdot 6}=\sqrt{36}\cdot \sqrt{6}=6\sqrt{6}\)
6. \(\sqrt{405}=\sqrt{81 \cdot 5}=\sqrt{81}\cdot \sqrt{5}=9\sqrt{5}\)
7. \(\sqrt{1210}=\sqrt{121 \cdot 10}=\sqrt{121}\cdot \sqrt{10}=11\sqrt{10}\)
8. \(\sqrt{36}=6\)
9. \(\sqrt{27}=\sqrt{9 \cdot 3}=\sqrt{9}\cdot \sqrt{3}=3\sqrt{3}\)
10. \(\sqrt{300}=\sqrt{100 \cdot 3}=\sqrt{100}\cdot \sqrt{3}=10\sqrt{3}\)
11. \(\sqrt{12}=\sqrt{4 \cdot 3}=\sqrt{4}\cdot \sqrt{3}=2\sqrt{3}\)
12. \(\sqrt{147}=\sqrt{49 \cdot 3}=\sqrt{49}\cdot \sqrt{3}=7\sqrt{3}\)