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1. \(\sqrt{1440}\)
2. \(\sqrt{1000}\)
3. \(\sqrt{2304}\)
4. \(\sqrt{1296}\)
5. \(\sqrt{225}\)
6. \(\sqrt{405}\)
7. \(\sqrt{18}\)
8. \(\sqrt{36}\)
9. \(\sqrt{125}\)
10. \(\sqrt{486}\)
11. \(\sqrt{324}\)
12. \(\sqrt{810}\)

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Verbetersleutel

1. \(\sqrt{1440}=\sqrt{144 \cdot 10}=\sqrt{144}\cdot \sqrt{10}=12\sqrt{10}\)
2. \(\sqrt{1000}=\sqrt{100 \cdot 10}=\sqrt{100}\cdot \sqrt{10}=10\sqrt{10}\)
3. \(\sqrt{2304}=\sqrt{576 \cdot 4}=\sqrt{144 \cdot 4 \cdot 4}=\sqrt{144} \cdot \sqrt{4} \cdot \sqrt{4}=12 \cdot 2 \cdot 2=48\)
4. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
5. \(\sqrt{225}=15\)
6. \(\sqrt{405}=\sqrt{81 \cdot 5}=\sqrt{81}\cdot \sqrt{5}=9\sqrt{5}\)
7. \(\sqrt{18}=\sqrt{9 \cdot 2}=\sqrt{9}\cdot \sqrt{2}=3\sqrt{2}\)
8. \(\sqrt{36}=6\)
9. \(\sqrt{125}=\sqrt{25 \cdot 5}=\sqrt{25}\cdot \sqrt{5}=5\sqrt{5}\)
10. \(\sqrt{486}=\sqrt{81 \cdot 6}=\sqrt{81}\cdot \sqrt{6}=9\sqrt{6}\)
11. \(\sqrt{324}=18\)
12. \(\sqrt{810}=\sqrt{81 \cdot 10}=\sqrt{81}\cdot \sqrt{10}=9\sqrt{10}\)