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1. \(\sqrt{900}\)
2. \(\sqrt{810}\)
3. \(\sqrt{2304}\)
4. \(\sqrt{1210}\)
5. \(\sqrt{400}\)
6. \(\sqrt{360}\)
7. \(\sqrt{192}\)
8. \(\sqrt{405}\)
9. \(\sqrt{1936}\)
10. \(\sqrt{324}\)
11. \(\sqrt{20}\)
12. \(\sqrt{144}\)

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Verbetersleutel

1. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
2. \(\sqrt{810}=\sqrt{81 \cdot 10}=\sqrt{81}\cdot \sqrt{10}=9\sqrt{10}\)
3. \(\sqrt{2304}=\sqrt{576 \cdot 4}=\sqrt{144 \cdot 4 \cdot 4}=\sqrt{144} \cdot \sqrt{4} \cdot \sqrt{4}=12 \cdot 2 \cdot 2=48\)
4. \(\sqrt{1210}=\sqrt{121 \cdot 10}=\sqrt{121}\cdot \sqrt{10}=11\sqrt{10}\)
5. \(\sqrt{400}=20\)
6. \(\sqrt{360}=\sqrt{36 \cdot 10}=\sqrt{36}\cdot \sqrt{10}=6\sqrt{10}\)
7. \(\sqrt{192}=\sqrt{64 \cdot 3}=\sqrt{64}\cdot \sqrt{3}=8\sqrt{3}\)
8. \(\sqrt{405}=\sqrt{81 \cdot 5}=\sqrt{81}\cdot \sqrt{5}=9\sqrt{5}\)
9. \(\sqrt{1936}=\sqrt{484 \cdot 4}=\sqrt{121 \cdot 4 \cdot 4}=\sqrt{121} \cdot \sqrt{4} \cdot \sqrt{4}=11 \cdot 2 \cdot 2=44\)
10. \(\sqrt{324}=18\)
11. \(\sqrt{20}=\sqrt{4 \cdot 5}=\sqrt{4}\cdot \sqrt{5}=2\sqrt{5}\)
12. \(\sqrt{144}=12\)