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1. \(\sqrt{900}\)
2. \(\sqrt{1440}\)
3. \(\sqrt{576}\)
4. \(\sqrt{75}\)
5. \(\sqrt{144}\)
6. \(\sqrt{324}\)
7. \(\sqrt{100}\)
8. \(\sqrt{360}\)
9. \(\sqrt{784}\)
10. \(\sqrt{500}\)
11. \(\sqrt{605}\)
12. \(\sqrt{72}\)

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Verbetersleutel

1. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
2. \(\sqrt{1440}=\sqrt{144 \cdot 10}=\sqrt{144}\cdot \sqrt{10}=12\sqrt{10}\)
3. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
4. \(\sqrt{75}=\sqrt{25 \cdot 3}=\sqrt{25}\cdot \sqrt{3}=5\sqrt{3}\)
5. \(\sqrt{144}=12\)
6. \(\sqrt{324}=18\)
7. \(\sqrt{100}=10\)
8. \(\sqrt{360}=\sqrt{36 \cdot 10}=\sqrt{36}\cdot \sqrt{10}=6\sqrt{10}\)
9. \(\sqrt{784}=\sqrt{196 \cdot 4}=\sqrt{196} \cdot \sqrt{4}=14 \cdot 2=28\)
10. \(\sqrt{500}=\sqrt{100 \cdot 5}=\sqrt{100}\cdot \sqrt{5}=10\sqrt{5}\)
11. \(\sqrt{605}=\sqrt{121 \cdot 5}=\sqrt{121}\cdot \sqrt{5}=11\sqrt{5}\)
12. \(\sqrt{72}=\sqrt{36 \cdot 2}=\sqrt{36}\cdot \sqrt{2}=6\sqrt{2}\)