Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{10}{\sqrt{13}}\)
2. \(\frac{57}{\sqrt{11}}\)
3. \(\frac{45}{\sqrt{8}}\)
4. \(\frac{31}{\sqrt{3}}\)
5. \(\frac{55}{\sqrt{13}}\)
6. \(\frac{46}{\sqrt{11}}\)
7. \(\frac{56}{\sqrt{17}}\)
8. \(\frac{27}{\sqrt{10}}\)
9. \(\frac{27}{\sqrt{6}}\)
10. \(\frac{37}{\sqrt{13}}\)
11. \(\frac{14}{\sqrt{14}}\)
12. \(\frac{48}{\sqrt{14}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{10}{\sqrt{13}}=\frac{10\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{10\cdot\sqrt{13}}{13}\)
2. \(\frac{57}{\sqrt{11}}=\frac{57\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{57\cdot\sqrt{11}}{11}\)
3. \(\frac{45}{\sqrt{8}}=\frac{45\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{45\cdot\sqrt{8}}{8}\)
4. \(\frac{31}{\sqrt{3}}=\frac{31\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{31\cdot\sqrt{3}}{3}\)
5. \(\frac{55}{\sqrt{13}}=\frac{55\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{55\cdot\sqrt{13}}{13}\)
6. \(\frac{46}{\sqrt{11}}=\frac{46\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{46\cdot\sqrt{11}}{11}\)
7. \(\frac{56}{\sqrt{17}}=\frac{56\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{56\cdot\sqrt{17}}{17}\)
8. \(\frac{27}{\sqrt{10}}=\frac{27\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{27\cdot\sqrt{10}}{10}\)
9. \(\frac{27}{\sqrt{6}}=\frac{27\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{27\cdot\sqrt{6}}{6}=\frac{9\cdot\sqrt{6}}{2}\)
10. \(\frac{37}{\sqrt{13}}=\frac{37\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{37\cdot\sqrt{13}}{13}\)
11. \(\frac{14}{\sqrt{14}}=\frac{14\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{14\cdot\sqrt{14}}{14}=\frac{\sqrt{14}}{1}\)
12. \(\frac{48}{\sqrt{14}}=\frac{48\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{48\cdot\sqrt{14}}{14}=\frac{24\cdot\sqrt{14}}{7}\)