Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{2}{\sqrt{8}}\)
2. \(\frac{57}{\sqrt{13}}\)
3. \(\frac{51}{\sqrt{2}}\)
4. \(\frac{19}{\sqrt{13}}\)
5. \(\frac{12}{\sqrt{15}}\)
6. \(\frac{33}{\sqrt{11}}\)
7. \(\frac{23}{\sqrt{6}}\)
8. \(\frac{44}{\sqrt{7}}\)
9. \(\frac{56}{\sqrt{5}}\)
10. \(\frac{25}{\sqrt{15}}\)
11. \(\frac{56}{\sqrt{10}}\)
12. \(\frac{28}{\sqrt{13}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{2}{\sqrt{8}}=\frac{2\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{2\cdot\sqrt{8}}{8}=\frac{\sqrt{8}}{4}\)
2. \(\frac{57}{\sqrt{13}}=\frac{57\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{57\cdot\sqrt{13}}{13}\)
3. \(\frac{51}{\sqrt{2}}=\frac{51\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{51\cdot\sqrt{2}}{2}\)
4. \(\frac{19}{\sqrt{13}}=\frac{19\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{19\cdot\sqrt{13}}{13}\)
5. \(\frac{12}{\sqrt{15}}=\frac{12\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{12\cdot\sqrt{15}}{15}=\frac{4\cdot\sqrt{15}}{5}\)
6. \(\frac{33}{\sqrt{11}}=\frac{33\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{33\cdot\sqrt{11}}{11}=3\cdot\sqrt{11}\)
7. \(\frac{23}{\sqrt{6}}=\frac{23\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{23\cdot\sqrt{6}}{6}\)
8. \(\frac{44}{\sqrt{7}}=\frac{44\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{44\cdot\sqrt{7}}{7}\)
9. \(\frac{56}{\sqrt{5}}=\frac{56\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{56\cdot\sqrt{5}}{5}\)
10. \(\frac{25}{\sqrt{15}}=\frac{25\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{25\cdot\sqrt{15}}{15}=\frac{5\cdot\sqrt{15}}{3}\)
11. \(\frac{56}{\sqrt{10}}=\frac{56\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{56\cdot\sqrt{10}}{10}=\frac{28\cdot\sqrt{10}}{5}\)
12. \(\frac{28}{\sqrt{13}}=\frac{28\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{28\cdot\sqrt{13}}{13}\)