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1. \(\sqrt{1225}\)
2. \(\sqrt{810}\)
3. \(\sqrt{288}\)
4. \(\sqrt{80}\)
5. \(\sqrt{18}\)
6. \(\sqrt{405}\)
7. \(\sqrt{100}\)
8. \(\sqrt{2025}\)
9. \(\sqrt{1000}\)
10. \(\sqrt{294}\)
11. \(\sqrt{1296}\)
12. \(\sqrt{1600}\)

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Verbetersleutel

1. \(\sqrt{1225}=\sqrt{49 \cdot 25}=\sqrt{49} \cdot \sqrt{25}=7 \cdot 5=35\)
2. \(\sqrt{810}=\sqrt{81 \cdot 10}=\sqrt{81}\cdot \sqrt{10}=9\sqrt{10}\)
3. \(\sqrt{288}=\sqrt{144 \cdot 2}=\sqrt{144}\cdot \sqrt{2}=12\sqrt{2}\)
4. \(\sqrt{80}=\sqrt{16 \cdot 5}=\sqrt{16}\cdot \sqrt{5}=4\sqrt{5}\)
5. \(\sqrt{18}=\sqrt{9 \cdot 2}=\sqrt{9}\cdot \sqrt{2}=3\sqrt{2}\)
6. \(\sqrt{405}=\sqrt{81 \cdot 5}=\sqrt{81}\cdot \sqrt{5}=9\sqrt{5}\)
7. \(\sqrt{100}=10\)
8. \(\sqrt{2025}=\sqrt{81 \cdot 25}=\sqrt{81} \cdot \sqrt{25}=9 \cdot 5=45\)
9. \(\sqrt{1000}=\sqrt{100 \cdot 10}=\sqrt{100}\cdot \sqrt{10}=10\sqrt{10}\)
10. \(\sqrt{294}=\sqrt{49 \cdot 6}=\sqrt{49}\cdot \sqrt{6}=7\sqrt{6}\)
11. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
12. \(\sqrt{1600}=\sqrt{16 \cdot 100}=\sqrt{16} \cdot \sqrt{100}=4 \cdot 10=40\)