Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{51}{\sqrt{17}}\)
2. \(\frac{34}{\sqrt{13}}\)
3. \(\frac{39}{\sqrt{3}}\)
4. \(\frac{44}{\sqrt{7}}\)
5. \(\frac{9}{\sqrt{15}}\)
6. \(\frac{60}{\sqrt{10}}\)
7. \(\frac{36}{\sqrt{17}}\)
8. \(\frac{11}{\sqrt{3}}\)
9. \(\frac{30}{\sqrt{5}}\)
10. \(\frac{40}{\sqrt{11}}\)
11. \(\frac{58}{\sqrt{3}}\)
12. \(\frac{53}{\sqrt{14}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{51}{\sqrt{17}}=\frac{51\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{51\cdot\sqrt{17}}{17}=3\cdot\sqrt{17}\)
2. \(\frac{34}{\sqrt{13}}=\frac{34\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{34\cdot\sqrt{13}}{13}\)
3. \(\frac{39}{\sqrt{3}}=\frac{39\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{39\cdot\sqrt{3}}{3}=13\cdot\sqrt{3}\)
4. \(\frac{44}{\sqrt{7}}=\frac{44\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{44\cdot\sqrt{7}}{7}\)
5. \(\frac{9}{\sqrt{15}}=\frac{9\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{9\cdot\sqrt{15}}{15}=\frac{3\cdot\sqrt{15}}{5}\)
6. \(\frac{60}{\sqrt{10}}=\frac{60\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{60\cdot\sqrt{10}}{10}=6\cdot\sqrt{10}\)
7. \(\frac{36}{\sqrt{17}}=\frac{36\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{36\cdot\sqrt{17}}{17}\)
8. \(\frac{11}{\sqrt{3}}=\frac{11\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{11\cdot\sqrt{3}}{3}\)
9. \(\frac{30}{\sqrt{5}}=\frac{30\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{30\cdot\sqrt{5}}{5}=6\cdot\sqrt{5}\)
10. \(\frac{40}{\sqrt{11}}=\frac{40\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{40\cdot\sqrt{11}}{11}\)
11. \(\frac{58}{\sqrt{3}}=\frac{58\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{58\cdot\sqrt{3}}{3}\)
12. \(\frac{53}{\sqrt{14}}=\frac{53\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{53\cdot\sqrt{14}}{14}\)