Rekenen met wortels (reeks 5)

Hoofdmenu Eentje per keer  🖨

Maak de noemer wortelvrij

1. \(\frac{18}{\sqrt{6}}\)
2. \(\frac{32}{\sqrt{2}}\)
3. \(\frac{9}{\sqrt{8}}\)
4. \(\frac{60}{\sqrt{8}}\)
5. \(\frac{41}{\sqrt{3}}\)
6. \(\frac{18}{\sqrt{13}}\)
7. \(\frac{10}{\sqrt{2}}\)
8. \(\frac{6}{\sqrt{3}}\)
9. \(\frac{30}{\sqrt{17}}\)
10. \(\frac{42}{\sqrt{13}}\)
11. \(\frac{45}{\sqrt{11}}\)
12. \(\frac{52}{\sqrt{14}}\)

---

Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{18}{\sqrt{6}}=\frac{18\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{18\cdot\sqrt{6}}{6}=3\cdot\sqrt{6}\)
2. \(\frac{32}{\sqrt{2}}=\frac{32\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{32\cdot\sqrt{2}}{2}=16\cdot\sqrt{2}\)
3. \(\frac{9}{\sqrt{8}}=\frac{9\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{9\cdot\sqrt{8}}{8}\)
4. \(\frac{60}{\sqrt{8}}=\frac{60\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{60\cdot\sqrt{8}}{8}=\frac{15\cdot\sqrt{8}}{2}\)
5. \(\frac{41}{\sqrt{3}}=\frac{41\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{41\cdot\sqrt{3}}{3}\)
6. \(\frac{18}{\sqrt{13}}=\frac{18\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{18\cdot\sqrt{13}}{13}\)
7. \(\frac{10}{\sqrt{2}}=\frac{10\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{10\cdot\sqrt{2}}{2}=5\cdot\sqrt{2}\)
8. \(\frac{6}{\sqrt{3}}=\frac{6\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{6\cdot\sqrt{3}}{3}=2\cdot\sqrt{3}\)
9. \(\frac{30}{\sqrt{17}}=\frac{30\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{30\cdot\sqrt{17}}{17}\)
10. \(\frac{42}{\sqrt{13}}=\frac{42\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{42\cdot\sqrt{13}}{13}\)
11. \(\frac{45}{\sqrt{11}}=\frac{45\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{45\cdot\sqrt{11}}{11}\)
12. \(\frac{52}{\sqrt{14}}=\frac{52\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{52\cdot\sqrt{14}}{14}=\frac{26\cdot\sqrt{14}}{7}\)