Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{56}{\sqrt{17}}\)
2. \(\frac{30}{\sqrt{3}}\)
3. \(\frac{3}{\sqrt{10}}\)
4. \(\frac{4}{\sqrt{11}}\)
5. \(\frac{45}{\sqrt{7}}\)
6. \(\frac{26}{\sqrt{6}}\)
7. \(\frac{20}{\sqrt{11}}\)
8. \(\frac{5}{\sqrt{13}}\)
9. \(\frac{44}{\sqrt{15}}\)
10. \(\frac{47}{\sqrt{5}}\)
11. \(\frac{45}{\sqrt{6}}\)
12. \(\frac{11}{\sqrt{13}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{56}{\sqrt{17}}=\frac{56\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{56\cdot\sqrt{17}}{17}\)
2. \(\frac{30}{\sqrt{3}}=\frac{30\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{30\cdot\sqrt{3}}{3}=10\cdot\sqrt{3}\)
3. \(\frac{3}{\sqrt{10}}=\frac{3\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{3\cdot\sqrt{10}}{10}\)
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. \(\frac{45}{\sqrt{7}}=\frac{45\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{45\cdot\sqrt{7}}{7}\)
6. \(\frac{26}{\sqrt{6}}=\frac{26\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{26\cdot\sqrt{6}}{6}=\frac{13\cdot\sqrt{6}}{3}\)
7. \(\frac{20}{\sqrt{11}}=\frac{20\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{20\cdot\sqrt{11}}{11}\)
8. \(\frac{5}{\sqrt{13}}=\frac{5\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{5\cdot\sqrt{13}}{13}\)
9. \(\frac{44}{\sqrt{15}}=\frac{44\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{44\cdot\sqrt{15}}{15}\)
10. \(\frac{47}{\sqrt{5}}=\frac{47\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{47\cdot\sqrt{5}}{5}\)
11. \(\frac{45}{\sqrt{6}}=\frac{45\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{45\cdot\sqrt{6}}{6}=\frac{15\cdot\sqrt{6}}{2}\)
12. \(\frac{11}{\sqrt{13}}=\frac{11\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{11\cdot\sqrt{13}}{13}\)