Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{4}{\sqrt{13}}\)
2. \(\frac{27}{\sqrt{14}}\)
3. \(\frac{15}{\sqrt{19}}\)
4. \(\frac{21}{\sqrt{10}}\)
5. \(\frac{43}{\sqrt{5}}\)
6. \(\frac{13}{\sqrt{6}}\)
7. \(\frac{55}{\sqrt{14}}\)
8. \(\frac{33}{\sqrt{8}}\)
9. \(\frac{38}{\sqrt{2}}\)
10. \(\frac{15}{\sqrt{7}}\)
11. \(\frac{8}{\sqrt{14}}\)
12. \(\frac{8}{\sqrt{2}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{4}{\sqrt{13}}=\frac{4\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{4\cdot\sqrt{13}}{13}\)
2. \(\frac{27}{\sqrt{14}}=\frac{27\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{27\cdot\sqrt{14}}{14}\)
3. \(\frac{15}{\sqrt{19}}=\frac{15\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{15\cdot\sqrt{19}}{19}\)
4. \(\frac{21}{\sqrt{10}}=\frac{21\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{21\cdot\sqrt{10}}{10}\)
5. \(\frac{43}{\sqrt{5}}=\frac{43\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{43\cdot\sqrt{5}}{5}\)
6. \(\frac{13}{\sqrt{6}}=\frac{13\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{13\cdot\sqrt{6}}{6}\)
7. \(\frac{55}{\sqrt{14}}=\frac{55\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{55\cdot\sqrt{14}}{14}\)
8. \(\frac{33}{\sqrt{8}}=\frac{33\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{33\cdot\sqrt{8}}{8}\)
9. \(\frac{38}{\sqrt{2}}=\frac{38\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{38\cdot\sqrt{2}}{2}=19\cdot\sqrt{2}\)
10. \(\frac{15}{\sqrt{7}}=\frac{15\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{15\cdot\sqrt{7}}{7}\)
11. \(\frac{8}{\sqrt{14}}=\frac{8\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{8\cdot\sqrt{14}}{14}=\frac{4\cdot\sqrt{14}}{7}\)
12. \(\frac{8}{\sqrt{2}}=\frac{8\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{8\cdot\sqrt{2}}{2}=4\cdot\sqrt{2}\)