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1. \(\sqrt{784}\)
2. \(\sqrt{294}\)
3. \(\sqrt{600}\)
4. \(\sqrt{432}\)
5. \(\sqrt{75}\)
6. \(\sqrt{100}\)
7. \(\sqrt{900}\)
8. \(\sqrt{144}\)
9. \(\sqrt{180}\)
10. \(\sqrt{150}\)
11. \(\sqrt{196}\)
12. \(\sqrt{576}\)

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Verbetersleutel

1. \(\sqrt{784}=\sqrt{196 \cdot 4}=\sqrt{196} \cdot \sqrt{4}=14 \cdot 2=28\)
2. \(\sqrt{294}=\sqrt{49 \cdot 6}=\sqrt{49}\cdot \sqrt{6}=7\sqrt{6}\)
3. \(\sqrt{600}=\sqrt{100 \cdot 6}=\sqrt{100}\cdot \sqrt{6}=10\sqrt{6}\)
4. \(\sqrt{432}=\sqrt{144 \cdot 3}=\sqrt{144}\cdot \sqrt{3}=12\sqrt{3}\)
5. \(\sqrt{75}=\sqrt{25 \cdot 3}=\sqrt{25}\cdot \sqrt{3}=5\sqrt{3}\)
6. \(\sqrt{100}=10\)
7. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
8. \(\sqrt{144}=12\)
9. \(\sqrt{180}=\sqrt{36 \cdot 5}=\sqrt{36}\cdot \sqrt{5}=6\sqrt{5}\)
10. \(\sqrt{150}=\sqrt{25 \cdot 6}=\sqrt{25}\cdot \sqrt{6}=5\sqrt{6}\)
11. \(\sqrt{196}=14\)
12. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)