Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{24}{\sqrt{8}}\)
2. \(\frac{33}{\sqrt{10}}\)
3. \(\frac{10}{\sqrt{15}}\)
4. \(\frac{25}{\sqrt{5}}\)
5. \(\frac{51}{\sqrt{2}}\)
6. \(\frac{19}{\sqrt{13}}\)
7. \(\frac{41}{\sqrt{7}}\)
8. \(\frac{50}{\sqrt{11}}\)
9. \(\frac{51}{\sqrt{15}}\)
10. \(\frac{46}{\sqrt{14}}\)
11. \(\frac{42}{\sqrt{11}}\)
12. \(\frac{28}{\sqrt{17}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{24}{\sqrt{8}}=\frac{24\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{24\cdot\sqrt{8}}{8}=3\cdot\sqrt{8}\)
2. \(\frac{33}{\sqrt{10}}=\frac{33\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{33\cdot\sqrt{10}}{10}\)
3. \(\frac{10}{\sqrt{15}}=\frac{10\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{10\cdot\sqrt{15}}{15}=\frac{2\cdot\sqrt{15}}{3}\)
4. \(\frac{25}{\sqrt{5}}=\frac{25\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{25\cdot\sqrt{5}}{5}=5\cdot\sqrt{5}\)
5. \(\frac{51}{\sqrt{2}}=\frac{51\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{51\cdot\sqrt{2}}{2}\)
6. \(\frac{19}{\sqrt{13}}=\frac{19\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{19\cdot\sqrt{13}}{13}\)
7. \(\frac{41}{\sqrt{7}}=\frac{41\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{41\cdot\sqrt{7}}{7}\)
8. \(\frac{50}{\sqrt{11}}=\frac{50\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{50\cdot\sqrt{11}}{11}\)
9. \(\frac{51}{\sqrt{15}}=\frac{51\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{51\cdot\sqrt{15}}{15}=\frac{17\cdot\sqrt{15}}{5}\)
10. \(\frac{46}{\sqrt{14}}=\frac{46\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{46\cdot\sqrt{14}}{14}=\frac{23\cdot\sqrt{14}}{7}\)
11. \(\frac{42}{\sqrt{11}}=\frac{42\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{42\cdot\sqrt{11}}{11}\)
12. \(\frac{28}{\sqrt{17}}=\frac{28\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{28\cdot\sqrt{17}}{17}\)