Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{58}{\sqrt{13}}\)
2. \(\frac{28}{\sqrt{10}}\)
3. \(\frac{15}{\sqrt{19}}\)
4. \(\frac{9}{\sqrt{2}}\)
5. \(\frac{50}{\sqrt{11}}\)
6. \(\frac{22}{\sqrt{10}}\)
7. \(\frac{31}{\sqrt{2}}\)
8. \(\frac{13}{\sqrt{3}}\)
9. \(\frac{59}{\sqrt{17}}\)
10. \(\frac{38}{\sqrt{8}}\)
11. \(\frac{54}{\sqrt{13}}\)
12. \(\frac{34}{\sqrt{17}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{58}{\sqrt{13}}=\frac{58\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{58\cdot\sqrt{13}}{13}\)
2. \(\frac{28}{\sqrt{10}}=\frac{28\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{28\cdot\sqrt{10}}{10}=\frac{14\cdot\sqrt{10}}{5}\)
3. \(\frac{15}{\sqrt{19}}=\frac{15\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{15\cdot\sqrt{19}}{19}\)
4. \(\frac{9}{\sqrt{2}}=\frac{9\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{9\cdot\sqrt{2}}{2}\)
5. \(\frac{50}{\sqrt{11}}=\frac{50\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{50\cdot\sqrt{11}}{11}\)
6. \(\frac{22}{\sqrt{10}}=\frac{22\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{22\cdot\sqrt{10}}{10}=\frac{11\cdot\sqrt{10}}{5}\)
7. \(\frac{31}{\sqrt{2}}=\frac{31\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{31\cdot\sqrt{2}}{2}\)
8. \(\frac{13}{\sqrt{3}}=\frac{13\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{13\cdot\sqrt{3}}{3}\)
9. \(\frac{59}{\sqrt{17}}=\frac{59\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{59\cdot\sqrt{17}}{17}\)
10. \(\frac{38}{\sqrt{8}}=\frac{38\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{38\cdot\sqrt{8}}{8}=\frac{19\cdot\sqrt{8}}{4}\)
11. \(\frac{54}{\sqrt{13}}=\frac{54\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{54\cdot\sqrt{13}}{13}\)
12. \(\frac{34}{\sqrt{17}}=\frac{34\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{34\cdot\sqrt{17}}{17}=2\cdot\sqrt{17}\)