Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{60}{\sqrt{6}}\)
2. \(\frac{24}{\sqrt{8}}\)
3. \(\frac{4}{\sqrt{7}}\)
4. \(\frac{16}{\sqrt{6}}\)
5. \(\frac{25}{\sqrt{3}}\)
6. \(\frac{58}{\sqrt{11}}\)
7. \(\frac{11}{\sqrt{11}}\)
8. \(\frac{5}{\sqrt{14}}\)
9. \(\frac{2}{\sqrt{6}}\)
10. \(\frac{55}{\sqrt{11}}\)
11. \(\frac{56}{\sqrt{19}}\)
12. \(\frac{9}{\sqrt{10}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{60}{\sqrt{6}}=\frac{60\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{60\cdot\sqrt{6}}{6}=10\cdot\sqrt{6}\)
2. \(\frac{24}{\sqrt{8}}=\frac{24\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{24\cdot\sqrt{8}}{8}=3\cdot\sqrt{8}\)
3. \(\frac{4}{\sqrt{7}}=\frac{4\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{4\cdot\sqrt{7}}{7}\)
4. \(\frac{16}{\sqrt{6}}=\frac{16\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{16\cdot\sqrt{6}}{6}=\frac{8\cdot\sqrt{6}}{3}\)
5. \(\frac{25}{\sqrt{3}}=\frac{25\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{25\cdot\sqrt{3}}{3}\)
6. \(\frac{58}{\sqrt{11}}=\frac{58\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{58\cdot\sqrt{11}}{11}\)
7. \(\frac{11}{\sqrt{11}}=\frac{11\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{11\cdot\sqrt{11}}{11}=\frac{\sqrt{11}}{1}\)
8. \(\frac{5}{\sqrt{14}}=\frac{5\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{5\cdot\sqrt{14}}{14}\)
9. \(\frac{2}{\sqrt{6}}=\frac{2\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{2\cdot\sqrt{6}}{6}=\frac{\sqrt{6}}{3}\)
10. \(\frac{55}{\sqrt{11}}=\frac{55\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{55\cdot\sqrt{11}}{11}=5\cdot\sqrt{11}\)
11. \(\frac{56}{\sqrt{19}}=\frac{56\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{56\cdot\sqrt{19}}{19}\)
12. \(\frac{9}{\sqrt{10}}=\frac{9\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{9\cdot\sqrt{10}}{10}\)