Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{56}{\sqrt{19}}\)
2. \(\frac{2}{\sqrt{13}}\)
3. \(\frac{43}{\sqrt{15}}\)
4. \(\frac{9}{\sqrt{7}}\)
5. \(\frac{3}{\sqrt{19}}\)
6. \(\frac{15}{\sqrt{3}}\)
7. \(\frac{33}{\sqrt{5}}\)
8. \(\frac{39}{\sqrt{11}}\)
9. \(\frac{21}{\sqrt{2}}\)
10. \(\frac{36}{\sqrt{13}}\)
11. \(\frac{13}{\sqrt{7}}\)
12. \(\frac{36}{\sqrt{17}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{56}{\sqrt{19}}=\frac{56\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{56\cdot\sqrt{19}}{19}\)
2. \(\frac{2}{\sqrt{13}}=\frac{2\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{2\cdot\sqrt{13}}{13}\)
3. \(\frac{43}{\sqrt{15}}=\frac{43\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{43\cdot\sqrt{15}}{15}\)
4. \(\frac{9}{\sqrt{7}}=\frac{9\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{9\cdot\sqrt{7}}{7}\)
5. \(\frac{3}{\sqrt{19}}=\frac{3\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{3\cdot\sqrt{19}}{19}\)
6. \(\frac{15}{\sqrt{3}}=\frac{15\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{15\cdot\sqrt{3}}{3}=5\cdot\sqrt{3}\)
7. \(\frac{33}{\sqrt{5}}=\frac{33\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{33\cdot\sqrt{5}}{5}\)
8. \(\frac{39}{\sqrt{11}}=\frac{39\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{39\cdot\sqrt{11}}{11}\)
9. \(\frac{21}{\sqrt{2}}=\frac{21\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{21\cdot\sqrt{2}}{2}\)
10. \(\frac{36}{\sqrt{13}}=\frac{36\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{36\cdot\sqrt{13}}{13}\)
11. \(\frac{13}{\sqrt{7}}=\frac{13\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{13\cdot\sqrt{7}}{7}\)
12. \(\frac{36}{\sqrt{17}}=\frac{36\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{36\cdot\sqrt{17}}{17}\)