Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{2}{\sqrt{5}}\)
2. \(\frac{12}{\sqrt{7}}\)
3. \(\frac{39}{\sqrt{19}}\)
4. \(\frac{18}{\sqrt{19}}\)
5. \(\frac{46}{\sqrt{19}}\)
6. \(\frac{16}{\sqrt{6}}\)
7. \(\frac{33}{\sqrt{3}}\)
8. \(\frac{41}{\sqrt{3}}\)
9. \(\frac{26}{\sqrt{19}}\)
10. \(\frac{38}{\sqrt{10}}\)
11. \(\frac{21}{\sqrt{3}}\)
12. \(\frac{55}{\sqrt{19}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{2}{\sqrt{5}}=\frac{2\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{2\cdot\sqrt{5}}{5}\)
2. \(\frac{12}{\sqrt{7}}=\frac{12\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{12\cdot\sqrt{7}}{7}\)
3. \(\frac{39}{\sqrt{19}}=\frac{39\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{39\cdot\sqrt{19}}{19}\)
4. \(\frac{18}{\sqrt{19}}=\frac{18\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{18\cdot\sqrt{19}}{19}\)
5. \(\frac{46}{\sqrt{19}}=\frac{46\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{46\cdot\sqrt{19}}{19}\)
6. \(\frac{16}{\sqrt{6}}=\frac{16\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{16\cdot\sqrt{6}}{6}=\frac{8\cdot\sqrt{6}}{3}\)
7. \(\frac{33}{\sqrt{3}}=\frac{33\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{33\cdot\sqrt{3}}{3}=11\cdot\sqrt{3}\)
8. \(\frac{41}{\sqrt{3}}=\frac{41\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{41\cdot\sqrt{3}}{3}\)
9. \(\frac{26}{\sqrt{19}}=\frac{26\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{26\cdot\sqrt{19}}{19}\)
10. \(\frac{38}{\sqrt{10}}=\frac{38\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{38\cdot\sqrt{10}}{10}=\frac{19\cdot\sqrt{10}}{5}\)
11. \(\frac{21}{\sqrt{3}}=\frac{21\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{21\cdot\sqrt{3}}{3}=7\cdot\sqrt{3}\)
12. \(\frac{55}{\sqrt{19}}=\frac{55\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{55\cdot\sqrt{19}}{19}\)