Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{11}{\sqrt{17}}\)
2. \(\frac{51}{\sqrt{17}}\)
3. \(\frac{36}{\sqrt{3}}\)
4. \(\frac{40}{\sqrt{6}}\)
5. \(\frac{23}{\sqrt{13}}\)
6. \(\frac{2}{\sqrt{15}}\)
7. \(\frac{31}{\sqrt{17}}\)
8. \(\frac{20}{\sqrt{14}}\)
9. \(\frac{19}{\sqrt{13}}\)
10. \(\frac{27}{\sqrt{3}}\)
11. \(\frac{14}{\sqrt{14}}\)
12. \(\frac{45}{\sqrt{17}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{11}{\sqrt{17}}=\frac{11\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{11\cdot\sqrt{17}}{17}\)
2. \(\frac{51}{\sqrt{17}}=\frac{51\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{51\cdot\sqrt{17}}{17}=3\cdot\sqrt{17}\)
3. \(\frac{36}{\sqrt{3}}=\frac{36\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{36\cdot\sqrt{3}}{3}=12\cdot\sqrt{3}\)
4. \(\frac{40}{\sqrt{6}}=\frac{40\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{40\cdot\sqrt{6}}{6}=\frac{20\cdot\sqrt{6}}{3}\)
5. \(\frac{23}{\sqrt{13}}=\frac{23\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{23\cdot\sqrt{13}}{13}\)
6. \(\frac{2}{\sqrt{15}}=\frac{2\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{2\cdot\sqrt{15}}{15}\)
7. \(\frac{31}{\sqrt{17}}=\frac{31\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{31\cdot\sqrt{17}}{17}\)
8. \(\frac{20}{\sqrt{14}}=\frac{20\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{20\cdot\sqrt{14}}{14}=\frac{10\cdot\sqrt{14}}{7}\)
9. \(\frac{19}{\sqrt{13}}=\frac{19\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{19\cdot\sqrt{13}}{13}\)
10. \(\frac{27}{\sqrt{3}}=\frac{27\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{27\cdot\sqrt{3}}{3}=9\cdot\sqrt{3}\)
11. \(\frac{14}{\sqrt{14}}=\frac{14\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{14\cdot\sqrt{14}}{14}=\frac{\sqrt{14}}{1}\)
12. \(\frac{45}{\sqrt{17}}=\frac{45\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{45\cdot\sqrt{17}}{17}\)