Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{12}{\sqrt{8}}\)
2. \(\frac{54}{\sqrt{17}}\)
3. \(\frac{5}{\sqrt{8}}\)
4. \(\frac{23}{\sqrt{19}}\)
5. \(\frac{42}{\sqrt{19}}\)
6. \(\frac{30}{\sqrt{15}}\)
7. \(\frac{9}{\sqrt{6}}\)
8. \(\frac{2}{\sqrt{3}}\)
9. \(\frac{40}{\sqrt{5}}\)
10. \(\frac{39}{\sqrt{11}}\)
11. \(\frac{40}{\sqrt{7}}\)
12. \(\frac{3}{\sqrt{11}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{12}{\sqrt{8}}=\frac{12\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{12\cdot\sqrt{8}}{8}=\frac{3\cdot\sqrt{8}}{2}\)
2. \(\frac{54}{\sqrt{17}}=\frac{54\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{54\cdot\sqrt{17}}{17}\)
3. \(\frac{5}{\sqrt{8}}=\frac{5\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{5\cdot\sqrt{8}}{8}\)
4. \(\frac{23}{\sqrt{19}}=\frac{23\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{23\cdot\sqrt{19}}{19}\)
5. \(\frac{42}{\sqrt{19}}=\frac{42\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{42\cdot\sqrt{19}}{19}\)
6. \(\frac{30}{\sqrt{15}}=\frac{30\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{30\cdot\sqrt{15}}{15}=2\cdot\sqrt{15}\)
7. \(\frac{9}{\sqrt{6}}=\frac{9\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{9\cdot\sqrt{6}}{6}=\frac{3\cdot\sqrt{6}}{2}\)
8. \(\frac{2}{\sqrt{3}}=\frac{2\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{2\cdot\sqrt{3}}{3}\)
9. \(\frac{40}{\sqrt{5}}=\frac{40\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{40\cdot\sqrt{5}}{5}=8\cdot\sqrt{5}\)
10. \(\frac{39}{\sqrt{11}}=\frac{39\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{39\cdot\sqrt{11}}{11}\)
11. \(\frac{40}{\sqrt{7}}=\frac{40\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{40\cdot\sqrt{7}}{7}\)
12. \(\frac{3}{\sqrt{11}}=\frac{3\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{3\cdot\sqrt{11}}{11}\)