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1. \(\sqrt{810}\)
2. \(\sqrt{242}\)
3. \(\sqrt{484}\)
4. \(\sqrt{900}\)
5. \(\sqrt{294}\)
6. \(\sqrt{196}\)
7. \(\sqrt{160}\)
8. \(\sqrt{125}\)
9. \(\sqrt{720}\)
10. \(\sqrt{2304}\)
11. \(\sqrt{80}\)
12. \(\sqrt{576}\)

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Verbetersleutel

1. \(\sqrt{810}=\sqrt{81 \cdot 10}=\sqrt{81}\cdot \sqrt{10}=9\sqrt{10}\)
2. \(\sqrt{242}=\sqrt{121 \cdot 2}=\sqrt{121}\cdot \sqrt{2}=11\sqrt{2}\)
3. \(\sqrt{484}=\sqrt{121 \cdot 4}=\sqrt{121} \cdot \sqrt{4}=11 \cdot 2=22\)
4. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
5. \(\sqrt{294}=\sqrt{49 \cdot 6}=\sqrt{49}\cdot \sqrt{6}=7\sqrt{6}\)
6. \(\sqrt{196}=14\)
7. \(\sqrt{160}=\sqrt{16 \cdot 10}=\sqrt{16}\cdot \sqrt{10}=4\sqrt{10}\)
8. \(\sqrt{125}=\sqrt{25 \cdot 5}=\sqrt{25}\cdot \sqrt{5}=5\sqrt{5}\)
9. \(\sqrt{720}=\sqrt{144 \cdot 5}=\sqrt{144}\cdot \sqrt{5}=12\sqrt{5}\)
10. \(\sqrt{2304}=\sqrt{576 \cdot 4}=\sqrt{144 \cdot 4 \cdot 4}=\sqrt{144} \cdot \sqrt{4} \cdot \sqrt{4}=12 \cdot 2 \cdot 2=48\)
11. \(\sqrt{80}=\sqrt{16 \cdot 5}=\sqrt{16}\cdot \sqrt{5}=4\sqrt{5}\)
12. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)