Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

  1. \(\frac{37}{\sqrt{19}}\)
  2. \(\frac{49}{\sqrt{3}}\)
  3. \(\frac{15}{\sqrt{8}}\)
  4. \(\frac{33}{\sqrt{15}}\)
  5. \(\frac{21}{\sqrt{17}}\)
  6. \(\frac{55}{\sqrt{10}}\)
  7. \(\frac{4}{\sqrt{5}}\)
  8. \(\frac{40}{\sqrt{8}}\)
  9. \(\frac{11}{\sqrt{10}}\)
  10. \(\frac{46}{\sqrt{3}}\)
  11. \(\frac{26}{\sqrt{5}}\)
  12. \(\frac{24}{\sqrt{19}}\)

Maak de noemer wortelvrij

Verbetersleutel

  1. \(\frac{37}{\sqrt{19}}=\frac{37\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{37\cdot\sqrt{19}}{19}\)
  2. \(\frac{49}{\sqrt{3}}=\frac{49\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{49\cdot\sqrt{3}}{3}\)
  3. \(\frac{15}{\sqrt{8}}=\frac{15\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{15\cdot\sqrt{8}}{8}\)
  4. \(\frac{33}{\sqrt{15}}=\frac{33\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{33\cdot\sqrt{15}}{15}=\frac{11\cdot\sqrt{15}}{5}\)
  5. \(\frac{21}{\sqrt{17}}=\frac{21\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{21\cdot\sqrt{17}}{17}\)
  6. \(\frac{55}{\sqrt{10}}=\frac{55\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{55\cdot\sqrt{10}}{10}=\frac{11\cdot\sqrt{10}}{2}\)
  7. \(\frac{4}{\sqrt{5}}=\frac{4\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{4\cdot\sqrt{5}}{5}\)
  8. \(\frac{40}{\sqrt{8}}=\frac{40\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{40\cdot\sqrt{8}}{8}=5\cdot\sqrt{8}\)
  9. \(\frac{11}{\sqrt{10}}=\frac{11\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{11\cdot\sqrt{10}}{10}\)
  10. \(\frac{46}{\sqrt{3}}=\frac{46\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{46\cdot\sqrt{3}}{3}\)
  11. \(\frac{26}{\sqrt{5}}=\frac{26\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{26\cdot\sqrt{5}}{5}\)
  12. \(\frac{24}{\sqrt{19}}=\frac{24\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{24\cdot\sqrt{19}}{19}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 00:46:04