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1. \(\sqrt{27}\)
2. \(\sqrt{72}\)
3. \(\sqrt{80}\)
4. \(\sqrt{54}\)
5. \(\sqrt{360}\)
6. \(\sqrt{48}\)
7. \(\sqrt{1296}\)
8. \(\sqrt{900}\)
9. \(\sqrt{384}\)
10. \(\sqrt{243}\)
11. \(\sqrt{576}\)
12. \(\sqrt{726}\)

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Verbetersleutel

1. \(\sqrt{27}=\sqrt{9 \cdot 3}=\sqrt{9}\cdot \sqrt{3}=3\sqrt{3}\)
2. \(\sqrt{72}=\sqrt{36 \cdot 2}=\sqrt{36}\cdot \sqrt{2}=6\sqrt{2}\)
3. \(\sqrt{80}=\sqrt{16 \cdot 5}=\sqrt{16}\cdot \sqrt{5}=4\sqrt{5}\)
4. \(\sqrt{54}=\sqrt{9 \cdot 6}=\sqrt{9}\cdot \sqrt{6}=3\sqrt{6}\)
5. \(\sqrt{360}=\sqrt{36 \cdot 10}=\sqrt{36}\cdot \sqrt{10}=6\sqrt{10}\)
6. \(\sqrt{48}=\sqrt{16 \cdot 3}=\sqrt{16}\cdot \sqrt{3}=4\sqrt{3}\)
7. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
8. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
9. \(\sqrt{384}=\sqrt{64 \cdot 6}=\sqrt{64}\cdot \sqrt{6}=8\sqrt{6}\)
10. \(\sqrt{243}=\sqrt{81 \cdot 3}=\sqrt{81}\cdot \sqrt{3}=9\sqrt{3}\)
11. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
12. \(\sqrt{726}=\sqrt{121 \cdot 6}=\sqrt{121}\cdot \sqrt{6}=11\sqrt{6}\)