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1. \(\sqrt{2304}\)
2. \(\sqrt{242}\)
3. \(\sqrt{500}\)
4. \(\sqrt{900}\)
5. \(\sqrt{1440}\)
6. \(\sqrt{36}\)
7. \(\sqrt{144}\)
8. \(\sqrt{216}\)
9. \(\sqrt{1296}\)
10. \(\sqrt{108}\)
11. \(\sqrt{640}\)
12. \(\sqrt{576}\)

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Verbetersleutel

1. \(\sqrt{2304}=\sqrt{576 \cdot 4}=\sqrt{144 \cdot 4 \cdot 4}=\sqrt{144} \cdot \sqrt{4} \cdot \sqrt{4}=12 \cdot 2 \cdot 2=48\)
2. \(\sqrt{242}=\sqrt{121 \cdot 2}=\sqrt{121}\cdot \sqrt{2}=11\sqrt{2}\)
3. \(\sqrt{500}=\sqrt{100 \cdot 5}=\sqrt{100}\cdot \sqrt{5}=10\sqrt{5}\)
4. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
5. \(\sqrt{1440}=\sqrt{144 \cdot 10}=\sqrt{144}\cdot \sqrt{10}=12\sqrt{10}\)
6. \(\sqrt{36}=6\)
7. \(\sqrt{144}=12\)
8. \(\sqrt{216}=\sqrt{36 \cdot 6}=\sqrt{36}\cdot \sqrt{6}=6\sqrt{6}\)
9. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
10. \(\sqrt{108}=\sqrt{36 \cdot 3}=\sqrt{36}\cdot \sqrt{3}=6\sqrt{3}\)
11. \(\sqrt{640}=\sqrt{64 \cdot 10}=\sqrt{64}\cdot \sqrt{10}=8\sqrt{10}\)
12. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)