Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{31}{\sqrt{17}}\)
2. \(\frac{28}{\sqrt{10}}\)
3. \(\frac{48}{\sqrt{3}}\)
4. \(\frac{42}{\sqrt{10}}\)
5. \(\frac{13}{\sqrt{10}}\)
6. \(\frac{34}{\sqrt{3}}\)
7. \(\frac{16}{\sqrt{19}}\)
8. \(\frac{57}{\sqrt{19}}\)
9. \(\frac{33}{\sqrt{5}}\)
10. \(\frac{3}{\sqrt{7}}\)
11. \(\frac{10}{\sqrt{10}}\)
12. \(\frac{45}{\sqrt{19}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{31}{\sqrt{17}}=\frac{31\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{31\cdot\sqrt{17}}{17}\)
2. \(\frac{28}{\sqrt{10}}=\frac{28\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{28\cdot\sqrt{10}}{10}=\frac{14\cdot\sqrt{10}}{5}\)
3. \(\frac{48}{\sqrt{3}}=\frac{48\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{48\cdot\sqrt{3}}{3}=16\cdot\sqrt{3}\)
4. \(\frac{42}{\sqrt{10}}=\frac{42\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{42\cdot\sqrt{10}}{10}=\frac{21\cdot\sqrt{10}}{5}\)
5. \(\frac{13}{\sqrt{10}}=\frac{13\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{13\cdot\sqrt{10}}{10}\)
6. \(\frac{34}{\sqrt{3}}=\frac{34\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{34\cdot\sqrt{3}}{3}\)
7. \(\frac{16}{\sqrt{19}}=\frac{16\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{16\cdot\sqrt{19}}{19}\)
8. \(\frac{57}{\sqrt{19}}=\frac{57\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{57\cdot\sqrt{19}}{19}=3\cdot\sqrt{19}\)
9. \(\frac{33}{\sqrt{5}}=\frac{33\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{33\cdot\sqrt{5}}{5}\)
10. \(\frac{3}{\sqrt{7}}=\frac{3\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{3\cdot\sqrt{7}}{7}\)
11. \(\frac{10}{\sqrt{10}}=\frac{10\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{10\cdot\sqrt{10}}{10}=\frac{\sqrt{10}}{1}\)
12. \(\frac{45}{\sqrt{19}}=\frac{45\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{45\cdot\sqrt{19}}{19}\)