Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{37}{\sqrt{19}}\)
2. \(\frac{60}{\sqrt{7}}\)
3. \(\frac{14}{\sqrt{14}}\)
4. \(\frac{25}{\sqrt{13}}\)
5. \(\frac{6}{\sqrt{6}}\)
6. \(\frac{39}{\sqrt{7}}\)
7. \(\frac{22}{\sqrt{11}}\)
8. \(\frac{31}{\sqrt{14}}\)
9. \(\frac{47}{\sqrt{6}}\)
10. \(\frac{23}{\sqrt{19}}\)
11. \(\frac{43}{\sqrt{17}}\)
12. \(\frac{34}{\sqrt{15}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{37}{\sqrt{19}}=\frac{37\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{37\cdot\sqrt{19}}{19}\)
2. \(\frac{60}{\sqrt{7}}=\frac{60\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{60\cdot\sqrt{7}}{7}\)
3. \(\frac{14}{\sqrt{14}}=\frac{14\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{14\cdot\sqrt{14}}{14}=\frac{\sqrt{14}}{1}\)
4. \(\frac{25}{\sqrt{13}}=\frac{25\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{25\cdot\sqrt{13}}{13}\)
5. \(\frac{6}{\sqrt{6}}=\frac{6\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{6\cdot\sqrt{6}}{6}=\frac{\sqrt{6}}{1}\)
6. \(\frac{39}{\sqrt{7}}=\frac{39\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{39\cdot\sqrt{7}}{7}\)
7. \(\frac{22}{\sqrt{11}}=\frac{22\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{22\cdot\sqrt{11}}{11}=2\cdot\sqrt{11}\)
8. \(\frac{31}{\sqrt{14}}=\frac{31\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{31\cdot\sqrt{14}}{14}\)
9. \(\frac{47}{\sqrt{6}}=\frac{47\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{47\cdot\sqrt{6}}{6}\)
10. \(\frac{23}{\sqrt{19}}=\frac{23\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{23\cdot\sqrt{19}}{19}\)
11. \(\frac{43}{\sqrt{17}}=\frac{43\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{43\cdot\sqrt{17}}{17}\)
12. \(\frac{34}{\sqrt{15}}=\frac{34\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{34\cdot\sqrt{15}}{15}\)