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1. \(\sqrt{45}\)
2. \(\sqrt{400}\)
3. \(\sqrt{900}\)
4. \(\sqrt{1000}\)
5. \(\sqrt{100}\)
6. \(\sqrt{1296}\)
7. \(\sqrt{200}\)
8. \(\sqrt{96}\)
9. \(\sqrt{128}\)
10. \(\sqrt{3600}\)
11. \(\sqrt{576}\)
12. \(\sqrt{32}\)

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Verbetersleutel

1. \(\sqrt{45}=\sqrt{9 \cdot 5}=\sqrt{9}\cdot \sqrt{5}=3\sqrt{5}\)
2. \(\sqrt{400}=20\)
3. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
4. \(\sqrt{1000}=\sqrt{100 \cdot 10}=\sqrt{100}\cdot \sqrt{10}=10\sqrt{10}\)
5. \(\sqrt{100}=10\)
6. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
7. \(\sqrt{200}=\sqrt{100 \cdot 2}=\sqrt{100}\cdot \sqrt{2}=10\sqrt{2}\)
8. \(\sqrt{96}=\sqrt{16 \cdot 6}=\sqrt{16}\cdot \sqrt{6}=4\sqrt{6}\)
9. \(\sqrt{128}=\sqrt{64 \cdot 2}=\sqrt{64}\cdot \sqrt{2}=8\sqrt{2}\)
10. \(\sqrt{3600}=\sqrt{36 \cdot 100}=\sqrt{36} \cdot \sqrt{100}=6 \cdot 10=60\)
11. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
12. \(\sqrt{32}=\sqrt{16 \cdot 2}=\sqrt{16}\cdot \sqrt{2}=4\sqrt{2}\)