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1. \(\sqrt{147}\)
2. \(\sqrt{1440}\)
3. \(\sqrt{100}\)
4. \(\sqrt{24}\)
5. \(\sqrt{36}\)
6. \(\sqrt{1000}\)
7. \(\sqrt{576}\)
8. \(\sqrt{196}\)
9. \(\sqrt{144}\)
10. \(\sqrt{250}\)
11. \(\sqrt{720}\)
12. \(\sqrt{726}\)

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Verbetersleutel

1. \(\sqrt{147}=\sqrt{49 \cdot 3}=\sqrt{49}\cdot \sqrt{3}=7\sqrt{3}\)
2. \(\sqrt{1440}=\sqrt{144 \cdot 10}=\sqrt{144}\cdot \sqrt{10}=12\sqrt{10}\)
3. \(\sqrt{100}=10\)
4. \(\sqrt{24}=\sqrt{4 \cdot 6}=\sqrt{4}\cdot \sqrt{6}=2\sqrt{6}\)
5. \(\sqrt{36}=6\)
6. \(\sqrt{1000}=\sqrt{100 \cdot 10}=\sqrt{100}\cdot \sqrt{10}=10\sqrt{10}\)
7. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
8. \(\sqrt{196}=14\)
9. \(\sqrt{144}=12\)
10. \(\sqrt{250}=\sqrt{25 \cdot 10}=\sqrt{25}\cdot \sqrt{10}=5\sqrt{10}\)
11. \(\sqrt{720}=\sqrt{144 \cdot 5}=\sqrt{144}\cdot \sqrt{5}=12\sqrt{5}\)
12. \(\sqrt{726}=\sqrt{121 \cdot 6}=\sqrt{121}\cdot \sqrt{6}=11\sqrt{6}\)