Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{15}{\sqrt{10}}\)
2. \(\frac{36}{\sqrt{11}}\)
3. \(\frac{54}{\sqrt{15}}\)
4. \(\frac{16}{\sqrt{7}}\)
5. \(\frac{51}{\sqrt{13}}\)
6. \(\frac{44}{\sqrt{11}}\)
7. \(\frac{22}{\sqrt{3}}\)
8. \(\frac{30}{\sqrt{10}}\)
9. \(\frac{30}{\sqrt{13}}\)
10. \(\frac{23}{\sqrt{15}}\)
11. \(\frac{35}{\sqrt{3}}\)
12. \(\frac{60}{\sqrt{19}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{15}{\sqrt{10}}=\frac{15\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{15\cdot\sqrt{10}}{10}=\frac{3\cdot\sqrt{10}}{2}\)
2. \(\frac{36}{\sqrt{11}}=\frac{36\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{36\cdot\sqrt{11}}{11}\)
3. \(\frac{54}{\sqrt{15}}=\frac{54\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{54\cdot\sqrt{15}}{15}=\frac{18\cdot\sqrt{15}}{5}\)
4. \(\frac{16}{\sqrt{7}}=\frac{16\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{16\cdot\sqrt{7}}{7}\)
5. \(\frac{51}{\sqrt{13}}=\frac{51\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{51\cdot\sqrt{13}}{13}\)
6. \(\frac{44}{\sqrt{11}}=\frac{44\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{44\cdot\sqrt{11}}{11}=4\cdot\sqrt{11}\)
7. \(\frac{22}{\sqrt{3}}=\frac{22\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{22\cdot\sqrt{3}}{3}\)
8. \(\frac{30}{\sqrt{10}}=\frac{30\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{30\cdot\sqrt{10}}{10}=3\cdot\sqrt{10}\)
9. \(\frac{30}{\sqrt{13}}=\frac{30\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{30\cdot\sqrt{13}}{13}\)
10. \(\frac{23}{\sqrt{15}}=\frac{23\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{23\cdot\sqrt{15}}{15}\)
11. \(\frac{35}{\sqrt{3}}=\frac{35\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{35\cdot\sqrt{3}}{3}\)
12. \(\frac{60}{\sqrt{19}}=\frac{60\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{60\cdot\sqrt{19}}{19}\)