Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{18}{\sqrt{13}}\)
2. \(\frac{9}{\sqrt{17}}\)
3. \(\frac{40}{\sqrt{11}}\)
4. \(\frac{12}{\sqrt{3}}\)
5. \(\frac{22}{\sqrt{15}}\)
6. \(\frac{56}{\sqrt{10}}\)
7. \(\frac{58}{\sqrt{6}}\)
8. \(\frac{29}{\sqrt{19}}\)
9. \(\frac{19}{\sqrt{13}}\)
10. \(\frac{2}{\sqrt{7}}\)
11. \(\frac{41}{\sqrt{15}}\)
12. \(\frac{22}{\sqrt{10}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{18}{\sqrt{13}}=\frac{18\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{18\cdot\sqrt{13}}{13}\)
2. \(\frac{9}{\sqrt{17}}=\frac{9\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{9\cdot\sqrt{17}}{17}\)
3. \(\frac{40}{\sqrt{11}}=\frac{40\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{40\cdot\sqrt{11}}{11}\)
4. \(\frac{12}{\sqrt{3}}=\frac{12\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{12\cdot\sqrt{3}}{3}=4\cdot\sqrt{3}\)
5. \(\frac{22}{\sqrt{15}}=\frac{22\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{22\cdot\sqrt{15}}{15}\)
6. \(\frac{56}{\sqrt{10}}=\frac{56\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{56\cdot\sqrt{10}}{10}=\frac{28\cdot\sqrt{10}}{5}\)
7. \(\frac{58}{\sqrt{6}}=\frac{58\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{58\cdot\sqrt{6}}{6}=\frac{29\cdot\sqrt{6}}{3}\)
8. \(\frac{29}{\sqrt{19}}=\frac{29\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{29\cdot\sqrt{19}}{19}\)
9. \(\frac{19}{\sqrt{13}}=\frac{19\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{19\cdot\sqrt{13}}{13}\)
10. \(\frac{2}{\sqrt{7}}=\frac{2\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{2\cdot\sqrt{7}}{7}\)
11. \(\frac{41}{\sqrt{15}}=\frac{41\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{41\cdot\sqrt{15}}{15}\)
12. \(\frac{22}{\sqrt{10}}=\frac{22\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{22\cdot\sqrt{10}}{10}=\frac{11\cdot\sqrt{10}}{5}\)