Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{16}{\sqrt{8}}\)
2. \(\frac{26}{\sqrt{13}}\)
3. \(\frac{33}{\sqrt{2}}\)
4. \(\frac{50}{\sqrt{8}}\)
5. \(\frac{36}{\sqrt{3}}\)
6. \(\frac{26}{\sqrt{11}}\)
7. \(\frac{44}{\sqrt{6}}\)
8. \(\frac{18}{\sqrt{2}}\)
9. \(\frac{2}{\sqrt{5}}\)
10. \(\frac{58}{\sqrt{15}}\)
11. \(\frac{58}{\sqrt{5}}\)
12. \(\frac{32}{\sqrt{15}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{16}{\sqrt{8}}=\frac{16\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{16\cdot\sqrt{8}}{8}=2\cdot\sqrt{8}\)
2. \(\frac{26}{\sqrt{13}}=\frac{26\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{26\cdot\sqrt{13}}{13}=2\cdot\sqrt{13}\)
3. \(\frac{33}{\sqrt{2}}=\frac{33\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{33\cdot\sqrt{2}}{2}\)
4. \(\frac{50}{\sqrt{8}}=\frac{50\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{50\cdot\sqrt{8}}{8}=\frac{25\cdot\sqrt{8}}{4}\)
5. \(\frac{36}{\sqrt{3}}=\frac{36\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{36\cdot\sqrt{3}}{3}=12\cdot\sqrt{3}\)
6. \(\frac{26}{\sqrt{11}}=\frac{26\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{26\cdot\sqrt{11}}{11}\)
7. \(\frac{44}{\sqrt{6}}=\frac{44\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{44\cdot\sqrt{6}}{6}=\frac{22\cdot\sqrt{6}}{3}\)
8. \(\frac{18}{\sqrt{2}}=\frac{18\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{18\cdot\sqrt{2}}{2}=9\cdot\sqrt{2}\)
9. \(\frac{2}{\sqrt{5}}=\frac{2\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{2\cdot\sqrt{5}}{5}\)
10. \(\frac{58}{\sqrt{15}}=\frac{58\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{58\cdot\sqrt{15}}{15}\)
11. \(\frac{58}{\sqrt{5}}=\frac{58\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{58\cdot\sqrt{5}}{5}\)
12. \(\frac{32}{\sqrt{15}}=\frac{32\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{32\cdot\sqrt{15}}{15}\)