Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{48}{\sqrt{13}}\)
2. \(\frac{18}{\sqrt{17}}\)
3. \(\frac{35}{\sqrt{2}}\)
4. \(\frac{40}{\sqrt{2}}\)
5. \(\frac{49}{\sqrt{8}}\)
6. \(\frac{41}{\sqrt{13}}\)
7. \(\frac{54}{\sqrt{2}}\)
8. \(\frac{38}{\sqrt{13}}\)
9. \(\frac{33}{\sqrt{5}}\)
10. \(\frac{5}{\sqrt{11}}\)
11. \(\frac{24}{\sqrt{17}}\)
12. \(\frac{57}{\sqrt{8}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{48}{\sqrt{13}}=\frac{48\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{48\cdot\sqrt{13}}{13}\)
2. \(\frac{18}{\sqrt{17}}=\frac{18\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{18\cdot\sqrt{17}}{17}\)
3. \(\frac{35}{\sqrt{2}}=\frac{35\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{35\cdot\sqrt{2}}{2}\)
4. \(\frac{40}{\sqrt{2}}=\frac{40\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{40\cdot\sqrt{2}}{2}=20\cdot\sqrt{2}\)
5. \(\frac{49}{\sqrt{8}}=\frac{49\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{49\cdot\sqrt{8}}{8}\)
6. \(\frac{41}{\sqrt{13}}=\frac{41\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{41\cdot\sqrt{13}}{13}\)
7. \(\frac{54}{\sqrt{2}}=\frac{54\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{54\cdot\sqrt{2}}{2}=27\cdot\sqrt{2}\)
8. \(\frac{38}{\sqrt{13}}=\frac{38\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{38\cdot\sqrt{13}}{13}\)
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. \(\frac{5}{\sqrt{11}}=\frac{5\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{5\cdot\sqrt{11}}{11}\)
11. \(\frac{24}{\sqrt{17}}=\frac{24\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{24\cdot\sqrt{17}}{17}\)
12. \(\frac{57}{\sqrt{8}}=\frac{57\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{57\cdot\sqrt{8}}{8}\)