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1. \(\sqrt{500}\)
2. \(\sqrt{147}\)
3. \(\sqrt{144}\)
4. \(\sqrt{20}\)
5. \(\sqrt{1089}\)
6. \(\sqrt{784}\)
7. \(\sqrt{726}\)
8. \(\sqrt{36}\)
9. \(\sqrt{864}\)
10. \(\sqrt{245}\)
11. \(\sqrt{1296}\)
12. \(\sqrt{96}\)

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Verbetersleutel

1. \(\sqrt{500}=\sqrt{100 \cdot 5}=\sqrt{100}\cdot \sqrt{5}=10\sqrt{5}\)
2. \(\sqrt{147}=\sqrt{49 \cdot 3}=\sqrt{49}\cdot \sqrt{3}=7\sqrt{3}\)
3. \(\sqrt{144}=12\)
4. \(\sqrt{20}=\sqrt{4 \cdot 5}=\sqrt{4}\cdot \sqrt{5}=2\sqrt{5}\)
5. \(\sqrt{1089}=\sqrt{121 \cdot 9}=\sqrt{121} \cdot \sqrt{9}=11 \cdot 3=33\)
6. \(\sqrt{784}=\sqrt{196 \cdot 4}=\sqrt{196} \cdot \sqrt{4}=14 \cdot 2=28\)
7. \(\sqrt{726}=\sqrt{121 \cdot 6}=\sqrt{121}\cdot \sqrt{6}=11\sqrt{6}\)
8. \(\sqrt{36}=6\)
9. \(\sqrt{864}=\sqrt{144 \cdot 6}=\sqrt{144}\cdot \sqrt{6}=12\sqrt{6}\)
10. \(\sqrt{245}=\sqrt{49 \cdot 5}=\sqrt{49}\cdot \sqrt{5}=7\sqrt{5}\)
11. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
12. \(\sqrt{96}=\sqrt{16 \cdot 6}=\sqrt{16}\cdot \sqrt{6}=4\sqrt{6}\)