Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{41}{\sqrt{8}}\)
2. \(\frac{29}{\sqrt{11}}\)
3. \(\frac{13}{\sqrt{19}}\)
4. \(\frac{26}{\sqrt{11}}\)
5. \(\frac{45}{\sqrt{11}}\)
6. \(\frac{34}{\sqrt{7}}\)
7. \(\frac{29}{\sqrt{14}}\)
8. \(\frac{43}{\sqrt{17}}\)
9. \(\frac{51}{\sqrt{2}}\)
10. \(\frac{33}{\sqrt{6}}\)
11. \(\frac{37}{\sqrt{19}}\)
12. \(\frac{45}{\sqrt{17}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{41}{\sqrt{8}}=\frac{41\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{41\cdot\sqrt{8}}{8}\)
2. \(\frac{29}{\sqrt{11}}=\frac{29\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{29\cdot\sqrt{11}}{11}\)
3. \(\frac{13}{\sqrt{19}}=\frac{13\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{13\cdot\sqrt{19}}{19}\)
4. \(\frac{26}{\sqrt{11}}=\frac{26\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{26\cdot\sqrt{11}}{11}\)
5. \(\frac{45}{\sqrt{11}}=\frac{45\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{45\cdot\sqrt{11}}{11}\)
6. \(\frac{34}{\sqrt{7}}=\frac{34\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{34\cdot\sqrt{7}}{7}\)
7. \(\frac{29}{\sqrt{14}}=\frac{29\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{29\cdot\sqrt{14}}{14}\)
8. \(\frac{43}{\sqrt{17}}=\frac{43\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{43\cdot\sqrt{17}}{17}\)
9. \(\frac{51}{\sqrt{2}}=\frac{51\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{51\cdot\sqrt{2}}{2}\)
10. \(\frac{33}{\sqrt{6}}=\frac{33\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{33\cdot\sqrt{6}}{6}=\frac{11\cdot\sqrt{6}}{2}\)
11. \(\frac{37}{\sqrt{19}}=\frac{37\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{37\cdot\sqrt{19}}{19}\)
12. \(\frac{45}{\sqrt{17}}=\frac{45\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{45\cdot\sqrt{17}}{17}\)