Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{2}{\sqrt{19}}\)
2. \(\frac{33}{\sqrt{6}}\)
3. \(\frac{28}{\sqrt{13}}\)
4. \(\frac{4}{\sqrt{11}}\)
5. \(\frac{39}{\sqrt{17}}\)
6. \(\frac{7}{\sqrt{5}}\)
7. \(\frac{14}{\sqrt{7}}\)
8. \(\frac{48}{\sqrt{3}}\)
9. \(\frac{41}{\sqrt{11}}\)
10. \(\frac{9}{\sqrt{7}}\)
11. \(\frac{15}{\sqrt{13}}\)
12. \(\frac{13}{\sqrt{14}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{2}{\sqrt{19}}=\frac{2\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{2\cdot\sqrt{19}}{19}\)
2. \(\frac{33}{\sqrt{6}}=\frac{33\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{33\cdot\sqrt{6}}{6}=\frac{11\cdot\sqrt{6}}{2}\)
3. \(\frac{28}{\sqrt{13}}=\frac{28\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{28\cdot\sqrt{13}}{13}\)
4. \(\frac{4}{\sqrt{11}}=\frac{4\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{4\cdot\sqrt{11}}{11}\)
5. \(\frac{39}{\sqrt{17}}=\frac{39\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{39\cdot\sqrt{17}}{17}\)
6. \(\frac{7}{\sqrt{5}}=\frac{7\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{7\cdot\sqrt{5}}{5}\)
7. \(\frac{14}{\sqrt{7}}=\frac{14\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{14\cdot\sqrt{7}}{7}=2\cdot\sqrt{7}\)
8. \(\frac{48}{\sqrt{3}}=\frac{48\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{48\cdot\sqrt{3}}{3}=16\cdot\sqrt{3}\)
9. \(\frac{41}{\sqrt{11}}=\frac{41\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{41\cdot\sqrt{11}}{11}\)
10. \(\frac{9}{\sqrt{7}}=\frac{9\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{9\cdot\sqrt{7}}{7}\)
11. \(\frac{15}{\sqrt{13}}=\frac{15\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{15\cdot\sqrt{13}}{13}\)
12. \(\frac{13}{\sqrt{14}}=\frac{13\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{13\cdot\sqrt{14}}{14}\)