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1. \(\sqrt{486}\)
2. \(\sqrt{225}\)
3. \(\sqrt{54}\)
4. \(\sqrt{100}\)
5. \(\sqrt{1225}\)
6. \(\sqrt{40}\)
7. \(\sqrt{20}\)
8. \(\sqrt{320}\)
9. \(\sqrt{720}\)
10. \(\sqrt{3600}\)
11. \(\sqrt{784}\)
12. \(\sqrt{900}\)

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Verbetersleutel

1. \(\sqrt{486}=\sqrt{81 \cdot 6}=\sqrt{81}\cdot \sqrt{6}=9\sqrt{6}\)
2. \(\sqrt{225}=15\)
3. \(\sqrt{54}=\sqrt{9 \cdot 6}=\sqrt{9}\cdot \sqrt{6}=3\sqrt{6}\)
4. \(\sqrt{100}=10\)
5. \(\sqrt{1225}=\sqrt{49 \cdot 25}=\sqrt{49} \cdot \sqrt{25}=7 \cdot 5=35\)
6. \(\sqrt{40}=\sqrt{4 \cdot 10}=\sqrt{4}\cdot \sqrt{10}=2\sqrt{10}\)
7. \(\sqrt{20}=\sqrt{4 \cdot 5}=\sqrt{4}\cdot \sqrt{5}=2\sqrt{5}\)
8. \(\sqrt{320}=\sqrt{64 \cdot 5}=\sqrt{64}\cdot \sqrt{5}=8\sqrt{5}\)
9. \(\sqrt{720}=\sqrt{144 \cdot 5}=\sqrt{144}\cdot \sqrt{5}=12\sqrt{5}\)
10. \(\sqrt{3600}=\sqrt{36 \cdot 100}=\sqrt{36} \cdot \sqrt{100}=6 \cdot 10=60\)
11. \(\sqrt{784}=\sqrt{196 \cdot 4}=\sqrt{196} \cdot \sqrt{4}=14 \cdot 2=28\)
12. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)