Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{58}{\sqrt{2}}\)
2. \(\frac{23}{\sqrt{11}}\)
3. \(\frac{5}{\sqrt{8}}\)
4. \(\frac{14}{\sqrt{17}}\)
5. \(\frac{56}{\sqrt{2}}\)
6. \(\frac{7}{\sqrt{8}}\)
7. \(\frac{27}{\sqrt{10}}\)
8. \(\frac{48}{\sqrt{6}}\)
9. \(\frac{40}{\sqrt{17}}\)
10. \(\frac{31}{\sqrt{19}}\)
11. \(\frac{9}{\sqrt{19}}\)
12. \(\frac{36}{\sqrt{6}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{58}{\sqrt{2}}=\frac{58\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{58\cdot\sqrt{2}}{2}=29\cdot\sqrt{2}\)
2. \(\frac{23}{\sqrt{11}}=\frac{23\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{23\cdot\sqrt{11}}{11}\)
3. \(\frac{5}{\sqrt{8}}=\frac{5\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{5\cdot\sqrt{8}}{8}\)
4. \(\frac{14}{\sqrt{17}}=\frac{14\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{14\cdot\sqrt{17}}{17}\)
5. \(\frac{56}{\sqrt{2}}=\frac{56\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{56\cdot\sqrt{2}}{2}=28\cdot\sqrt{2}\)
6. \(\frac{7}{\sqrt{8}}=\frac{7\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{7\cdot\sqrt{8}}{8}\)
7. \(\frac{27}{\sqrt{10}}=\frac{27\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{27\cdot\sqrt{10}}{10}\)
8. \(\frac{48}{\sqrt{6}}=\frac{48\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{48\cdot\sqrt{6}}{6}=8\cdot\sqrt{6}\)
9. \(\frac{40}{\sqrt{17}}=\frac{40\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{40\cdot\sqrt{17}}{17}\)
10. \(\frac{31}{\sqrt{19}}=\frac{31\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{31\cdot\sqrt{19}}{19}\)
11. \(\frac{9}{\sqrt{19}}=\frac{9\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{9\cdot\sqrt{19}}{19}\)
12. \(\frac{36}{\sqrt{6}}=\frac{36\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{36\cdot\sqrt{6}}{6}=6\cdot\sqrt{6}\)