Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{60}{\sqrt{8}}\)
2. \(\frac{57}{\sqrt{13}}\)
3. \(\frac{34}{\sqrt{8}}\)
4. \(\frac{13}{\sqrt{10}}\)
5. \(\frac{24}{\sqrt{17}}\)
6. \(\frac{51}{\sqrt{3}}\)
7. \(\frac{43}{\sqrt{3}}\)
8. \(\frac{57}{\sqrt{15}}\)
9. \(\frac{19}{\sqrt{3}}\)
10. \(\frac{36}{\sqrt{10}}\)
11. \(\frac{41}{\sqrt{19}}\)
12. \(\frac{12}{\sqrt{17}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{60}{\sqrt{8}}=\frac{60\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{60\cdot\sqrt{8}}{8}=\frac{15\cdot\sqrt{8}}{2}\)
2. \(\frac{57}{\sqrt{13}}=\frac{57\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{57\cdot\sqrt{13}}{13}\)
3. \(\frac{34}{\sqrt{8}}=\frac{34\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{34\cdot\sqrt{8}}{8}=\frac{17\cdot\sqrt{8}}{4}\)
4. \(\frac{13}{\sqrt{10}}=\frac{13\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{13\cdot\sqrt{10}}{10}\)
5. \(\frac{24}{\sqrt{17}}=\frac{24\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{24\cdot\sqrt{17}}{17}\)
6. \(\frac{51}{\sqrt{3}}=\frac{51\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{51\cdot\sqrt{3}}{3}=17\cdot\sqrt{3}\)
7. \(\frac{43}{\sqrt{3}}=\frac{43\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{43\cdot\sqrt{3}}{3}\)
8. \(\frac{57}{\sqrt{15}}=\frac{57\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{57\cdot\sqrt{15}}{15}=\frac{19\cdot\sqrt{15}}{5}\)
9. \(\frac{19}{\sqrt{3}}=\frac{19\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{19\cdot\sqrt{3}}{3}\)
10. \(\frac{36}{\sqrt{10}}=\frac{36\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{36\cdot\sqrt{10}}{10}=\frac{18\cdot\sqrt{10}}{5}\)
11. \(\frac{41}{\sqrt{19}}=\frac{41\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{41\cdot\sqrt{19}}{19}\)
12. \(\frac{12}{\sqrt{17}}=\frac{12\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{12\cdot\sqrt{17}}{17}\)