Rekenen met wortels (reeks 1)

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  1. \(\sqrt{242}\)
  2. \(\sqrt{360}\)
  3. \(\sqrt{324}\)
  4. \(\sqrt{400}\)
  5. \(\sqrt{1936}\)
  6. \(\sqrt{576}\)
  7. \(\sqrt{8}\)
  8. \(\sqrt{36}\)
  9. \(\sqrt{900}\)
  10. \(\sqrt{48}\)
  11. \(\sqrt{12}\)
  12. \(\sqrt{1089}\)

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Verbetersleutel

  1. \(\sqrt{242}=\sqrt{121 \cdot 2}=\sqrt{121}\cdot \sqrt{2}=11\sqrt{2}\)
  2. \(\sqrt{360}=\sqrt{36 \cdot 10}=\sqrt{36}\cdot \sqrt{10}=6\sqrt{10}\)
  3. \(\sqrt{324}=18\)
  4. \(\sqrt{400}=20\)
  5. \(\sqrt{1936}=\sqrt{484 \cdot 4}=\sqrt{121 \cdot 4 \cdot 4}=\sqrt{121} \cdot \sqrt{4} \cdot \sqrt{4}=11 \cdot 2 \cdot 2=44\)
  6. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
  7. \(\sqrt{8}=\sqrt{4 \cdot 2}=\sqrt{4}\cdot \sqrt{2}=2\sqrt{2}\)
  8. \(\sqrt{36}=6\)
  9. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
  10. \(\sqrt{48}=\sqrt{16 \cdot 3}=\sqrt{16}\cdot \sqrt{3}=4\sqrt{3}\)
  11. \(\sqrt{12}=\sqrt{4 \cdot 3}=\sqrt{4}\cdot \sqrt{3}=2\sqrt{3}\)
  12. \(\sqrt{1089}=\sqrt{121 \cdot 9}=\sqrt{121} \cdot \sqrt{9}=11 \cdot 3=33\)
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 02:23:53