Rekenen met wortels (reeks 1)

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  1. \(\sqrt{20}\)
  2. \(\sqrt{192}\)
  3. \(\sqrt{1296}\)
  4. \(\sqrt{1210}\)
  5. \(\sqrt{405}\)
  6. \(\sqrt{900}\)
  7. \(\sqrt{576}\)
  8. \(\sqrt{720}\)
  9. \(\sqrt{3600}\)
  10. \(\sqrt{98}\)
  11. \(\sqrt{784}\)
  12. \(\sqrt{484}\)

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Verbetersleutel

  1. \(\sqrt{20}=\sqrt{4 \cdot 5}=\sqrt{4}\cdot \sqrt{5}=2\sqrt{5}\)
  2. \(\sqrt{192}=\sqrt{64 \cdot 3}=\sqrt{64}\cdot \sqrt{3}=8\sqrt{3}\)
  3. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
  4. \(\sqrt{1210}=\sqrt{121 \cdot 10}=\sqrt{121}\cdot \sqrt{10}=11\sqrt{10}\)
  5. \(\sqrt{405}=\sqrt{81 \cdot 5}=\sqrt{81}\cdot \sqrt{5}=9\sqrt{5}\)
  6. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
  7. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
  8. \(\sqrt{720}=\sqrt{144 \cdot 5}=\sqrt{144}\cdot \sqrt{5}=12\sqrt{5}\)
  9. \(\sqrt{3600}=\sqrt{36 \cdot 100}=\sqrt{36} \cdot \sqrt{100}=6 \cdot 10=60\)
  10. \(\sqrt{98}=\sqrt{49 \cdot 2}=\sqrt{49}\cdot \sqrt{2}=7\sqrt{2}\)
  11. \(\sqrt{784}=\sqrt{196 \cdot 4}=\sqrt{196} \cdot \sqrt{4}=14 \cdot 2=28\)
  12. \(\sqrt{484}=\sqrt{121 \cdot 4}=\sqrt{121} \cdot \sqrt{4}=11 \cdot 2=22\)
Oefeningengenerator vanhoeckes.be/wiskunde 2024-05-07 09:53:09