Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{18}{\sqrt{10}}\)
2. \(\frac{50}{\sqrt{10}}\)
3. \(\frac{34}{\sqrt{10}}\)
4. \(\frac{11}{\sqrt{14}}\)
5. \(\frac{10}{\sqrt{13}}\)
6. \(\frac{29}{\sqrt{3}}\)
7. \(\frac{28}{\sqrt{5}}\)
8. \(\frac{13}{\sqrt{7}}\)
9. \(\frac{11}{\sqrt{13}}\)
10. \(\frac{59}{\sqrt{17}}\)
11. \(\frac{18}{\sqrt{5}}\)
12. \(\frac{50}{\sqrt{3}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{18}{\sqrt{10}}=\frac{18\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{18\cdot\sqrt{10}}{10}=\frac{9\cdot\sqrt{10}}{5}\)
2. \(\frac{50}{\sqrt{10}}=\frac{50\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{50\cdot\sqrt{10}}{10}=5\cdot\sqrt{10}\)
3. \(\frac{34}{\sqrt{10}}=\frac{34\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{34\cdot\sqrt{10}}{10}=\frac{17\cdot\sqrt{10}}{5}\)
4. \(\frac{11}{\sqrt{14}}=\frac{11\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{11\cdot\sqrt{14}}{14}\)
5. \(\frac{10}{\sqrt{13}}=\frac{10\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{10\cdot\sqrt{13}}{13}\)
6. \(\frac{29}{\sqrt{3}}=\frac{29\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{29\cdot\sqrt{3}}{3}\)
7. \(\frac{28}{\sqrt{5}}=\frac{28\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{28\cdot\sqrt{5}}{5}\)
8. \(\frac{13}{\sqrt{7}}=\frac{13\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{13\cdot\sqrt{7}}{7}\)
9. \(\frac{11}{\sqrt{13}}=\frac{11\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{11\cdot\sqrt{13}}{13}\)
10. \(\frac{59}{\sqrt{17}}=\frac{59\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{59\cdot\sqrt{17}}{17}\)
11. \(\frac{18}{\sqrt{5}}=\frac{18\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{18\cdot\sqrt{5}}{5}\)
12. \(\frac{50}{\sqrt{3}}=\frac{50\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{50\cdot\sqrt{3}}{3}\)