Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{19}{\sqrt{6}}\)
2. \(\frac{36}{\sqrt{3}}\)
3. \(\frac{43}{\sqrt{11}}\)
4. \(\frac{21}{\sqrt{3}}\)
5. \(\frac{8}{\sqrt{14}}\)
6. \(\frac{28}{\sqrt{17}}\)
7. \(\frac{4}{\sqrt{15}}\)
8. \(\frac{7}{\sqrt{8}}\)
9. \(\frac{43}{\sqrt{10}}\)
10. \(\frac{36}{\sqrt{17}}\)
11. \(\frac{34}{\sqrt{13}}\)
12. \(\frac{33}{\sqrt{11}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{19}{\sqrt{6}}=\frac{19\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{19\cdot\sqrt{6}}{6}\)
2. \(\frac{36}{\sqrt{3}}=\frac{36\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{36\cdot\sqrt{3}}{3}=12\cdot\sqrt{3}\)
3. \(\frac{43}{\sqrt{11}}=\frac{43\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{43\cdot\sqrt{11}}{11}\)
4. \(\frac{21}{\sqrt{3}}=\frac{21\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{21\cdot\sqrt{3}}{3}=7\cdot\sqrt{3}\)
5. \(\frac{8}{\sqrt{14}}=\frac{8\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{8\cdot\sqrt{14}}{14}=\frac{4\cdot\sqrt{14}}{7}\)
6. \(\frac{28}{\sqrt{17}}=\frac{28\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{28\cdot\sqrt{17}}{17}\)
7. \(\frac{4}{\sqrt{15}}=\frac{4\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{4\cdot\sqrt{15}}{15}\)
8. \(\frac{7}{\sqrt{8}}=\frac{7\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{7\cdot\sqrt{8}}{8}\)
9. \(\frac{43}{\sqrt{10}}=\frac{43\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{43\cdot\sqrt{10}}{10}\)
10. \(\frac{36}{\sqrt{17}}=\frac{36\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{36\cdot\sqrt{17}}{17}\)
11. \(\frac{34}{\sqrt{13}}=\frac{34\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{34\cdot\sqrt{13}}{13}\)
12. \(\frac{33}{\sqrt{11}}=\frac{33\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{33\cdot\sqrt{11}}{11}=3\cdot\sqrt{11}\)