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1. \(\sqrt{900}\)
2. \(\sqrt{20}\)
3. \(\sqrt{605}\)
4. \(\sqrt{100}\)
5. \(\sqrt{576}\)
6. \(\sqrt{96}\)
7. \(\sqrt{216}\)
8. \(\sqrt{144}\)
9. \(\sqrt{486}\)
10. \(\sqrt{2304}\)
11. \(\sqrt{36}\)
12. \(\sqrt{54}\)

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Verbetersleutel

1. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
2. \(\sqrt{20}=\sqrt{4 \cdot 5}=\sqrt{4}\cdot \sqrt{5}=2\sqrt{5}\)
3. \(\sqrt{605}=\sqrt{121 \cdot 5}=\sqrt{121}\cdot \sqrt{5}=11\sqrt{5}\)
4. \(\sqrt{100}=10\)
5. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
6. \(\sqrt{96}=\sqrt{16 \cdot 6}=\sqrt{16}\cdot \sqrt{6}=4\sqrt{6}\)
7. \(\sqrt{216}=\sqrt{36 \cdot 6}=\sqrt{36}\cdot \sqrt{6}=6\sqrt{6}\)
8. \(\sqrt{144}=12\)
9. \(\sqrt{486}=\sqrt{81 \cdot 6}=\sqrt{81}\cdot \sqrt{6}=9\sqrt{6}\)
10. \(\sqrt{2304}=\sqrt{576 \cdot 4}=\sqrt{144 \cdot 4 \cdot 4}=\sqrt{144} \cdot \sqrt{4} \cdot \sqrt{4}=12 \cdot 2 \cdot 2=48\)
11. \(\sqrt{36}=6\)
12. \(\sqrt{54}=\sqrt{9 \cdot 6}=\sqrt{9}\cdot \sqrt{6}=3\sqrt{6}\)