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1. \(\sqrt{500}\)
2. \(\sqrt{96}\)
3. \(\sqrt{100}\)
4. \(\sqrt{484}\)
5. \(\sqrt{384}\)
6. \(\sqrt{864}\)
7. \(\sqrt{243}\)
8. \(\sqrt{160}\)
9. \(\sqrt{900}\)
10. \(\sqrt{576}\)
11. \(\sqrt{144}\)
12. \(\sqrt{8}\)

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Verbetersleutel

1. \(\sqrt{500}=\sqrt{100 \cdot 5}=\sqrt{100}\cdot \sqrt{5}=10\sqrt{5}\)
2. \(\sqrt{96}=\sqrt{16 \cdot 6}=\sqrt{16}\cdot \sqrt{6}=4\sqrt{6}\)
3. \(\sqrt{100}=10\)
4. \(\sqrt{484}=\sqrt{121 \cdot 4}=\sqrt{121} \cdot \sqrt{4}=11 \cdot 2=22\)
5. \(\sqrt{384}=\sqrt{64 \cdot 6}=\sqrt{64}\cdot \sqrt{6}=8\sqrt{6}\)
6. \(\sqrt{864}=\sqrt{144 \cdot 6}=\sqrt{144}\cdot \sqrt{6}=12\sqrt{6}\)
7. \(\sqrt{243}=\sqrt{81 \cdot 3}=\sqrt{81}\cdot \sqrt{3}=9\sqrt{3}\)
8. \(\sqrt{160}=\sqrt{16 \cdot 10}=\sqrt{16}\cdot \sqrt{10}=4\sqrt{10}\)
9. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
10. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
11. \(\sqrt{144}=12\)
12. \(\sqrt{8}=\sqrt{4 \cdot 2}=\sqrt{4}\cdot \sqrt{2}=2\sqrt{2}\)