Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{44}{\sqrt{17}}\)
2. \(\frac{46}{\sqrt{14}}\)
3. \(\frac{26}{\sqrt{15}}\)
4. \(\frac{11}{\sqrt{14}}\)
5. \(\frac{2}{\sqrt{11}}\)
6. \(\frac{21}{\sqrt{17}}\)
7. \(\frac{35}{\sqrt{2}}\)
8. \(\frac{32}{\sqrt{14}}\)
9. \(\frac{30}{\sqrt{2}}\)
10. \(\frac{34}{\sqrt{15}}\)
11. \(\frac{26}{\sqrt{14}}\)
12. \(\frac{22}{\sqrt{5}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{44}{\sqrt{17}}=\frac{44\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{44\cdot\sqrt{17}}{17}\)
2. \(\frac{46}{\sqrt{14}}=\frac{46\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{46\cdot\sqrt{14}}{14}=\frac{23\cdot\sqrt{14}}{7}\)
3. \(\frac{26}{\sqrt{15}}=\frac{26\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{26\cdot\sqrt{15}}{15}\)
4. \(\frac{11}{\sqrt{14}}=\frac{11\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{11\cdot\sqrt{14}}{14}\)
5. \(\frac{2}{\sqrt{11}}=\frac{2\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{2\cdot\sqrt{11}}{11}\)
6. \(\frac{21}{\sqrt{17}}=\frac{21\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{21\cdot\sqrt{17}}{17}\)
7. \(\frac{35}{\sqrt{2}}=\frac{35\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{35\cdot\sqrt{2}}{2}\)
8. \(\frac{32}{\sqrt{14}}=\frac{32\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{32\cdot\sqrt{14}}{14}=\frac{16\cdot\sqrt{14}}{7}\)
9. \(\frac{30}{\sqrt{2}}=\frac{30\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{30\cdot\sqrt{2}}{2}=15\cdot\sqrt{2}\)
10. \(\frac{34}{\sqrt{15}}=\frac{34\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{34\cdot\sqrt{15}}{15}\)
11. \(\frac{26}{\sqrt{14}}=\frac{26\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{26\cdot\sqrt{14}}{14}=\frac{13\cdot\sqrt{14}}{7}\)
12. \(\frac{22}{\sqrt{5}}=\frac{22\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{22\cdot\sqrt{5}}{5}\)