Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{56}{\sqrt{10}}\)
2. \(\frac{33}{\sqrt{11}}\)
3. \(\frac{34}{\sqrt{5}}\)
4. \(\frac{60}{\sqrt{7}}\)
5. \(\frac{33}{\sqrt{13}}\)
6. \(\frac{41}{\sqrt{10}}\)
7. \(\frac{32}{\sqrt{14}}\)
8. \(\frac{19}{\sqrt{3}}\)
9. \(\frac{19}{\sqrt{19}}\)
10. \(\frac{21}{\sqrt{3}}\)
11. \(\frac{26}{\sqrt{15}}\)
12. \(\frac{34}{\sqrt{3}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{56}{\sqrt{10}}=\frac{56\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{56\cdot\sqrt{10}}{10}=\frac{28\cdot\sqrt{10}}{5}\)
2. \(\frac{33}{\sqrt{11}}=\frac{33\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{33\cdot\sqrt{11}}{11}=3\cdot\sqrt{11}\)
3. \(\frac{34}{\sqrt{5}}=\frac{34\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{34\cdot\sqrt{5}}{5}\)
4. \(\frac{60}{\sqrt{7}}=\frac{60\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{60\cdot\sqrt{7}}{7}\)
5. \(\frac{33}{\sqrt{13}}=\frac{33\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{33\cdot\sqrt{13}}{13}\)
6. \(\frac{41}{\sqrt{10}}=\frac{41\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{41\cdot\sqrt{10}}{10}\)
7. \(\frac{32}{\sqrt{14}}=\frac{32\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{32\cdot\sqrt{14}}{14}=\frac{16\cdot\sqrt{14}}{7}\)
8. \(\frac{19}{\sqrt{3}}=\frac{19\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{19\cdot\sqrt{3}}{3}\)
9. \(\frac{19}{\sqrt{19}}=\frac{19\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{19\cdot\sqrt{19}}{19}=\frac{\sqrt{19}}{1}\)
10. \(\frac{21}{\sqrt{3}}=\frac{21\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{21\cdot\sqrt{3}}{3}=7\cdot\sqrt{3}\)
11. \(\frac{26}{\sqrt{15}}=\frac{26\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{26\cdot\sqrt{15}}{15}\)
12. \(\frac{34}{\sqrt{3}}=\frac{34\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{34\cdot\sqrt{3}}{3}\)