Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{9}{\sqrt{14}}\)
2. \(\frac{34}{\sqrt{13}}\)
3. \(\frac{45}{\sqrt{7}}\)
4. \(\frac{50}{\sqrt{3}}\)
5. \(\frac{41}{\sqrt{2}}\)
6. \(\frac{39}{\sqrt{10}}\)
7. \(\frac{30}{\sqrt{17}}\)
8. \(\frac{28}{\sqrt{17}}\)
9. \(\frac{27}{\sqrt{2}}\)
10. \(\frac{11}{\sqrt{17}}\)
11. \(\frac{55}{\sqrt{11}}\)
12. \(\frac{32}{\sqrt{19}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{9}{\sqrt{14}}=\frac{9\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{9\cdot\sqrt{14}}{14}\)
2. \(\frac{34}{\sqrt{13}}=\frac{34\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{34\cdot\sqrt{13}}{13}\)
3. \(\frac{45}{\sqrt{7}}=\frac{45\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{45\cdot\sqrt{7}}{7}\)
4. \(\frac{50}{\sqrt{3}}=\frac{50\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{50\cdot\sqrt{3}}{3}\)
5. \(\frac{41}{\sqrt{2}}=\frac{41\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{41\cdot\sqrt{2}}{2}\)
6. \(\frac{39}{\sqrt{10}}=\frac{39\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{39\cdot\sqrt{10}}{10}\)
7. \(\frac{30}{\sqrt{17}}=\frac{30\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{30\cdot\sqrt{17}}{17}\)
8. \(\frac{28}{\sqrt{17}}=\frac{28\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{28\cdot\sqrt{17}}{17}\)
9. \(\frac{27}{\sqrt{2}}=\frac{27\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{27\cdot\sqrt{2}}{2}\)
10. \(\frac{11}{\sqrt{17}}=\frac{11\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{11\cdot\sqrt{17}}{17}\)
11. \(\frac{55}{\sqrt{11}}=\frac{55\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{55\cdot\sqrt{11}}{11}=5\cdot\sqrt{11}\)
12. \(\frac{32}{\sqrt{19}}=\frac{32\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{32\cdot\sqrt{19}}{19}\)