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1. \(\sqrt{605}\)
2. \(\sqrt{384}\)
3. \(\sqrt{2304}\)
4. \(\sqrt{1296}\)
5. \(\sqrt{200}\)
6. \(\sqrt{147}\)
7. \(\sqrt{32}\)
8. \(\sqrt{363}\)
9. \(\sqrt{900}\)
10. \(\sqrt{288}\)
11. \(\sqrt{432}\)
12. \(\sqrt{576}\)

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Verbetersleutel

1. \(\sqrt{605}=\sqrt{121 \cdot 5}=\sqrt{121}\cdot \sqrt{5}=11\sqrt{5}\)
2. \(\sqrt{384}=\sqrt{64 \cdot 6}=\sqrt{64}\cdot \sqrt{6}=8\sqrt{6}\)
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. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
5. \(\sqrt{200}=\sqrt{100 \cdot 2}=\sqrt{100}\cdot \sqrt{2}=10\sqrt{2}\)
6. \(\sqrt{147}=\sqrt{49 \cdot 3}=\sqrt{49}\cdot \sqrt{3}=7\sqrt{3}\)
7. \(\sqrt{32}=\sqrt{16 \cdot 2}=\sqrt{16}\cdot \sqrt{2}=4\sqrt{2}\)
8. \(\sqrt{363}=\sqrt{121 \cdot 3}=\sqrt{121}\cdot \sqrt{3}=11\sqrt{3}\)
9. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
10. \(\sqrt{288}=\sqrt{144 \cdot 2}=\sqrt{144}\cdot \sqrt{2}=12\sqrt{2}\)
11. \(\sqrt{432}=\sqrt{144 \cdot 3}=\sqrt{144}\cdot \sqrt{3}=12\sqrt{3}\)
12. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)