Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{45}{\sqrt{8}}\)
2. \(\frac{60}{\sqrt{8}}\)
3. \(\frac{22}{\sqrt{15}}\)
4. \(\frac{11}{\sqrt{6}}\)
5. \(\frac{46}{\sqrt{17}}\)
6. \(\frac{17}{\sqrt{14}}\)
7. \(\frac{40}{\sqrt{11}}\)
8. \(\frac{13}{\sqrt{10}}\)
9. \(\frac{52}{\sqrt{17}}\)
10. \(\frac{32}{\sqrt{19}}\)
11. \(\frac{57}{\sqrt{3}}\)
12. \(\frac{5}{\sqrt{15}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{45}{\sqrt{8}}=\frac{45\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{45\cdot\sqrt{8}}{8}\)
2. \(\frac{60}{\sqrt{8}}=\frac{60\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{60\cdot\sqrt{8}}{8}=\frac{15\cdot\sqrt{8}}{2}\)
3. \(\frac{22}{\sqrt{15}}=\frac{22\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{22\cdot\sqrt{15}}{15}\)
4. \(\frac{11}{\sqrt{6}}=\frac{11\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{11\cdot\sqrt{6}}{6}\)
5. \(\frac{46}{\sqrt{17}}=\frac{46\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{46\cdot\sqrt{17}}{17}\)
6. \(\frac{17}{\sqrt{14}}=\frac{17\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{17\cdot\sqrt{14}}{14}\)
7. \(\frac{40}{\sqrt{11}}=\frac{40\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{40\cdot\sqrt{11}}{11}\)
8. \(\frac{13}{\sqrt{10}}=\frac{13\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{13\cdot\sqrt{10}}{10}\)
9. \(\frac{52}{\sqrt{17}}=\frac{52\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{52\cdot\sqrt{17}}{17}\)
10. \(\frac{32}{\sqrt{19}}=\frac{32\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{32\cdot\sqrt{19}}{19}\)
11. \(\frac{57}{\sqrt{3}}=\frac{57\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{57\cdot\sqrt{3}}{3}=19\cdot\sqrt{3}\)
12. \(\frac{5}{\sqrt{15}}=\frac{5\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{5\cdot\sqrt{15}}{15}=\frac{\sqrt{15}}{3}\)