Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{14}{\sqrt{15}}\)
2. \(\frac{39}{\sqrt{11}}\)
3. \(\frac{28}{\sqrt{11}}\)
4. \(\frac{28}{\sqrt{10}}\)
5. \(\frac{51}{\sqrt{14}}\)
6. \(\frac{47}{\sqrt{3}}\)
7. \(\frac{23}{\sqrt{2}}\)
8. \(\frac{27}{\sqrt{13}}\)
9. \(\frac{31}{\sqrt{5}}\)
10. \(\frac{23}{\sqrt{14}}\)
11. \(\frac{56}{\sqrt{7}}\)
12. \(\frac{49}{\sqrt{10}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{14}{\sqrt{15}}=\frac{14\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{14\cdot\sqrt{15}}{15}\)
2. \(\frac{39}{\sqrt{11}}=\frac{39\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{39\cdot\sqrt{11}}{11}\)
3. \(\frac{28}{\sqrt{11}}=\frac{28\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{28\cdot\sqrt{11}}{11}\)
4. \(\frac{28}{\sqrt{10}}=\frac{28\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{28\cdot\sqrt{10}}{10}=\frac{14\cdot\sqrt{10}}{5}\)
5. \(\frac{51}{\sqrt{14}}=\frac{51\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{51\cdot\sqrt{14}}{14}\)
6. \(\frac{47}{\sqrt{3}}=\frac{47\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{47\cdot\sqrt{3}}{3}\)
7. \(\frac{23}{\sqrt{2}}=\frac{23\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{23\cdot\sqrt{2}}{2}\)
8. \(\frac{27}{\sqrt{13}}=\frac{27\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{27\cdot\sqrt{13}}{13}\)
9. \(\frac{31}{\sqrt{5}}=\frac{31\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{31\cdot\sqrt{5}}{5}\)
10. \(\frac{23}{\sqrt{14}}=\frac{23\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{23\cdot\sqrt{14}}{14}\)
11. \(\frac{56}{\sqrt{7}}=\frac{56\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{56\cdot\sqrt{7}}{7}=8\cdot\sqrt{7}\)
12. \(\frac{49}{\sqrt{10}}=\frac{49\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{49\cdot\sqrt{10}}{10}\)