Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{13}{\sqrt{15}}\)
2. \(\frac{14}{\sqrt{6}}\)
3. \(\frac{19}{\sqrt{10}}\)
4. \(\frac{53}{\sqrt{17}}\)
5. \(\frac{19}{\sqrt{5}}\)
6. \(\frac{4}{\sqrt{11}}\)
7. \(\frac{58}{\sqrt{17}}\)
8. \(\frac{24}{\sqrt{11}}\)
9. \(\frac{34}{\sqrt{7}}\)
10. \(\frac{38}{\sqrt{14}}\)
11. \(\frac{39}{\sqrt{14}}\)
12. \(\frac{50}{\sqrt{13}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{13}{\sqrt{15}}=\frac{13\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{13\cdot\sqrt{15}}{15}\)
2. \(\frac{14}{\sqrt{6}}=\frac{14\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{14\cdot\sqrt{6}}{6}=\frac{7\cdot\sqrt{6}}{3}\)
3. \(\frac{19}{\sqrt{10}}=\frac{19\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{19\cdot\sqrt{10}}{10}\)
4. \(\frac{53}{\sqrt{17}}=\frac{53\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{53\cdot\sqrt{17}}{17}\)
5. \(\frac{19}{\sqrt{5}}=\frac{19\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{19\cdot\sqrt{5}}{5}\)
6. \(\frac{4}{\sqrt{11}}=\frac{4\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{4\cdot\sqrt{11}}{11}\)
7. \(\frac{58}{\sqrt{17}}=\frac{58\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{58\cdot\sqrt{17}}{17}\)
8. \(\frac{24}{\sqrt{11}}=\frac{24\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{24\cdot\sqrt{11}}{11}\)
9. \(\frac{34}{\sqrt{7}}=\frac{34\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{34\cdot\sqrt{7}}{7}\)
10. \(\frac{38}{\sqrt{14}}=\frac{38\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{38\cdot\sqrt{14}}{14}=\frac{19\cdot\sqrt{14}}{7}\)
11. \(\frac{39}{\sqrt{14}}=\frac{39\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{39\cdot\sqrt{14}}{14}\)
12. \(\frac{50}{\sqrt{13}}=\frac{50\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{50\cdot\sqrt{13}}{13}\)