Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{14}{\sqrt{3}}\)
2. \(\frac{57}{\sqrt{8}}\)
3. \(\frac{49}{\sqrt{6}}\)
4. \(\frac{20}{\sqrt{7}}\)
5. \(\frac{21}{\sqrt{5}}\)
6. \(\frac{60}{\sqrt{5}}\)
7. \(\frac{34}{\sqrt{11}}\)
8. \(\frac{22}{\sqrt{19}}\)
9. \(\frac{28}{\sqrt{13}}\)
10. \(\frac{37}{\sqrt{11}}\)
11. \(\frac{28}{\sqrt{8}}\)
12. \(\frac{58}{\sqrt{11}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{14}{\sqrt{3}}=\frac{14\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{14\cdot\sqrt{3}}{3}\)
2. \(\frac{57}{\sqrt{8}}=\frac{57\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{57\cdot\sqrt{8}}{8}\)
3. \(\frac{49}{\sqrt{6}}=\frac{49\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{49\cdot\sqrt{6}}{6}\)
4. \(\frac{20}{\sqrt{7}}=\frac{20\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{20\cdot\sqrt{7}}{7}\)
5. \(\frac{21}{\sqrt{5}}=\frac{21\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{21\cdot\sqrt{5}}{5}\)
6. \(\frac{60}{\sqrt{5}}=\frac{60\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{60\cdot\sqrt{5}}{5}=12\cdot\sqrt{5}\)
7. \(\frac{34}{\sqrt{11}}=\frac{34\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{34\cdot\sqrt{11}}{11}\)
8. \(\frac{22}{\sqrt{19}}=\frac{22\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{22\cdot\sqrt{19}}{19}\)
9. \(\frac{28}{\sqrt{13}}=\frac{28\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{28\cdot\sqrt{13}}{13}\)
10. \(\frac{37}{\sqrt{11}}=\frac{37\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{37\cdot\sqrt{11}}{11}\)
11. \(\frac{28}{\sqrt{8}}=\frac{28\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{28\cdot\sqrt{8}}{8}=\frac{7\cdot\sqrt{8}}{2}\)
12. \(\frac{58}{\sqrt{11}}=\frac{58\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{58\cdot\sqrt{11}}{11}\)