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1. \(\sqrt{12}\)
2. \(\sqrt{144}\)
3. \(\sqrt{196}\)
4. \(\sqrt{405}\)
5. \(\sqrt{1296}\)
6. \(\sqrt{1936}\)
7. \(\sqrt{147}\)
8. \(\sqrt{36}\)
9. \(\sqrt{400}\)
10. \(\sqrt{900}\)
11. \(\sqrt{98}\)
12. \(\sqrt{20}\)

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Verbetersleutel

1. \(\sqrt{12}=\sqrt{4 \cdot 3}=\sqrt{4}\cdot \sqrt{3}=2\sqrt{3}\)
2. \(\sqrt{144}=12\)
3. \(\sqrt{196}=14\)
4. \(\sqrt{405}=\sqrt{81 \cdot 5}=\sqrt{81}\cdot \sqrt{5}=9\sqrt{5}\)
5. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
6. \(\sqrt{1936}=\sqrt{484 \cdot 4}=\sqrt{121 \cdot 4 \cdot 4}=\sqrt{121} \cdot \sqrt{4} \cdot \sqrt{4}=11 \cdot 2 \cdot 2=44\)
7. \(\sqrt{147}=\sqrt{49 \cdot 3}=\sqrt{49}\cdot \sqrt{3}=7\sqrt{3}\)
8. \(\sqrt{36}=6\)
9. \(\sqrt{400}=20\)
10. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
11. \(\sqrt{98}=\sqrt{49 \cdot 2}=\sqrt{49}\cdot \sqrt{2}=7\sqrt{2}\)
12. \(\sqrt{20}=\sqrt{4 \cdot 5}=\sqrt{4}\cdot \sqrt{5}=2\sqrt{5}\)