Rekenen met wortels (reeks 5)

Hoofdmenu Eentje per keer  🖨

Maak de noemer wortelvrij

1. \(\frac{34}{\sqrt{19}}\)
2. \(\frac{11}{\sqrt{17}}\)
3. \(\frac{38}{\sqrt{7}}\)
4. \(\frac{42}{\sqrt{14}}\)
5. \(\frac{15}{\sqrt{19}}\)
6. \(\frac{13}{\sqrt{2}}\)
7. \(\frac{53}{\sqrt{13}}\)
8. \(\frac{28}{\sqrt{8}}\)
9. \(\frac{12}{\sqrt{17}}\)
10. \(\frac{11}{\sqrt{7}}\)
11. \(\frac{10}{\sqrt{8}}\)
12. \(\frac{40}{\sqrt{14}}\)

---

Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{34}{\sqrt{19}}=\frac{34\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{34\cdot\sqrt{19}}{19}\)
2. \(\frac{11}{\sqrt{17}}=\frac{11\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{11\cdot\sqrt{17}}{17}\)
3. \(\frac{38}{\sqrt{7}}=\frac{38\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{38\cdot\sqrt{7}}{7}\)
4. \(\frac{42}{\sqrt{14}}=\frac{42\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{42\cdot\sqrt{14}}{14}=3\cdot\sqrt{14}\)
5. \(\frac{15}{\sqrt{19}}=\frac{15\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{15\cdot\sqrt{19}}{19}\)
6. \(\frac{13}{\sqrt{2}}=\frac{13\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{13\cdot\sqrt{2}}{2}\)
7. \(\frac{53}{\sqrt{13}}=\frac{53\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{53\cdot\sqrt{13}}{13}\)
8. \(\frac{28}{\sqrt{8}}=\frac{28\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{28\cdot\sqrt{8}}{8}=\frac{7\cdot\sqrt{8}}{2}\)
9. \(\frac{12}{\sqrt{17}}=\frac{12\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{12\cdot\sqrt{17}}{17}\)
10. \(\frac{11}{\sqrt{7}}=\frac{11\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{11\cdot\sqrt{7}}{7}\)
11. \(\frac{10}{\sqrt{8}}=\frac{10\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{10\cdot\sqrt{8}}{8}=\frac{5\cdot\sqrt{8}}{4}\)
12. \(\frac{40}{\sqrt{14}}=\frac{40\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{40\cdot\sqrt{14}}{14}=\frac{20\cdot\sqrt{14}}{7}\)