Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{38}{\sqrt{15}}\)
2. \(\frac{58}{\sqrt{5}}\)
3. \(\frac{26}{\sqrt{17}}\)
4. \(\frac{40}{\sqrt{13}}\)
5. \(\frac{8}{\sqrt{19}}\)
6. \(\frac{11}{\sqrt{15}}\)
7. \(\frac{47}{\sqrt{11}}\)
8. \(\frac{21}{\sqrt{15}}\)
9. \(\frac{4}{\sqrt{3}}\)
10. \(\frac{28}{\sqrt{17}}\)
11. \(\frac{27}{\sqrt{11}}\)
12. \(\frac{37}{\sqrt{13}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{38}{\sqrt{15}}=\frac{38\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{38\cdot\sqrt{15}}{15}\)
2. \(\frac{58}{\sqrt{5}}=\frac{58\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{58\cdot\sqrt{5}}{5}\)
3. \(\frac{26}{\sqrt{17}}=\frac{26\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{26\cdot\sqrt{17}}{17}\)
4. \(\frac{40}{\sqrt{13}}=\frac{40\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{40\cdot\sqrt{13}}{13}\)
5. \(\frac{8}{\sqrt{19}}=\frac{8\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{8\cdot\sqrt{19}}{19}\)
6. \(\frac{11}{\sqrt{15}}=\frac{11\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{11\cdot\sqrt{15}}{15}\)
7. \(\frac{47}{\sqrt{11}}=\frac{47\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{47\cdot\sqrt{11}}{11}\)
8. \(\frac{21}{\sqrt{15}}=\frac{21\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{21\cdot\sqrt{15}}{15}=\frac{7\cdot\sqrt{15}}{5}\)
9. \(\frac{4}{\sqrt{3}}=\frac{4\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{4\cdot\sqrt{3}}{3}\)
10. \(\frac{28}{\sqrt{17}}=\frac{28\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{28\cdot\sqrt{17}}{17}\)
11. \(\frac{27}{\sqrt{11}}=\frac{27\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{27\cdot\sqrt{11}}{11}\)
12. \(\frac{37}{\sqrt{13}}=\frac{37\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{37\cdot\sqrt{13}}{13}\)