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1. \(\sqrt{12}\)
2. \(\sqrt{45}\)
3. \(\sqrt{100}\)
4. \(\sqrt{144}\)
5. \(\sqrt{1296}\)
6. \(\sqrt{363}\)
7. \(\sqrt{108}\)
8. \(\sqrt{726}\)
9. \(\sqrt{576}\)
10. \(\sqrt{640}\)
11. \(\sqrt{216}\)
12. \(\sqrt{54}\)

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Verbetersleutel

1. \(\sqrt{12}=\sqrt{4 \cdot 3}=\sqrt{4}\cdot \sqrt{3}=2\sqrt{3}\)
2. \(\sqrt{45}=\sqrt{9 \cdot 5}=\sqrt{9}\cdot \sqrt{5}=3\sqrt{5}\)
3. \(\sqrt{100}=10\)
4. \(\sqrt{144}=12\)
5. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
6. \(\sqrt{363}=\sqrt{121 \cdot 3}=\sqrt{121}\cdot \sqrt{3}=11\sqrt{3}\)
7. \(\sqrt{108}=\sqrt{36 \cdot 3}=\sqrt{36}\cdot \sqrt{3}=6\sqrt{3}\)
8. \(\sqrt{726}=\sqrt{121 \cdot 6}=\sqrt{121}\cdot \sqrt{6}=11\sqrt{6}\)
9. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
10. \(\sqrt{640}=\sqrt{64 \cdot 10}=\sqrt{64}\cdot \sqrt{10}=8\sqrt{10}\)
11. \(\sqrt{216}=\sqrt{36 \cdot 6}=\sqrt{36}\cdot \sqrt{6}=6\sqrt{6}\)
12. \(\sqrt{54}=\sqrt{9 \cdot 6}=\sqrt{9}\cdot \sqrt{6}=3\sqrt{6}\)