Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{8}{\sqrt{7}}\)
2. \(\frac{2}{\sqrt{3}}\)
3. \(\frac{46}{\sqrt{19}}\)
4. \(\frac{46}{\sqrt{5}}\)
5. \(\frac{14}{\sqrt{7}}\)
6. \(\frac{34}{\sqrt{7}}\)
7. \(\frac{51}{\sqrt{6}}\)
8. \(\frac{30}{\sqrt{10}}\)
9. \(\frac{12}{\sqrt{15}}\)
10. \(\frac{53}{\sqrt{14}}\)
11. \(\frac{50}{\sqrt{11}}\)
12. \(\frac{3}{\sqrt{15}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{8}{\sqrt{7}}=\frac{8\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{8\cdot\sqrt{7}}{7}\)
2. \(\frac{2}{\sqrt{3}}=\frac{2\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{2\cdot\sqrt{3}}{3}\)
3. \(\frac{46}{\sqrt{19}}=\frac{46\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{46\cdot\sqrt{19}}{19}\)
4. \(\frac{46}{\sqrt{5}}=\frac{46\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{46\cdot\sqrt{5}}{5}\)
5. \(\frac{14}{\sqrt{7}}=\frac{14\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{14\cdot\sqrt{7}}{7}=2\cdot\sqrt{7}\)
6. \(\frac{34}{\sqrt{7}}=\frac{34\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{34\cdot\sqrt{7}}{7}\)
7. \(\frac{51}{\sqrt{6}}=\frac{51\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{51\cdot\sqrt{6}}{6}=\frac{17\cdot\sqrt{6}}{2}\)
8. \(\frac{30}{\sqrt{10}}=\frac{30\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{30\cdot\sqrt{10}}{10}=3\cdot\sqrt{10}\)
9. \(\frac{12}{\sqrt{15}}=\frac{12\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{12\cdot\sqrt{15}}{15}=\frac{4\cdot\sqrt{15}}{5}\)
10. \(\frac{53}{\sqrt{14}}=\frac{53\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{53\cdot\sqrt{14}}{14}\)
11. \(\frac{50}{\sqrt{11}}=\frac{50\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{50\cdot\sqrt{11}}{11}\)
12. \(\frac{3}{\sqrt{15}}=\frac{3\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{3\cdot\sqrt{15}}{15}=\frac{\sqrt{15}}{5}\)