Rekenen met wortels (reeks 5)

Hoofdmenu Eentje per keer  🖨

Maak de noemer wortelvrij

1. \(\frac{43}{\sqrt{3}}\)
2. \(\frac{14}{\sqrt{19}}\)
3. \(\frac{8}{\sqrt{6}}\)
4. \(\frac{53}{\sqrt{3}}\)
5. \(\frac{59}{\sqrt{11}}\)
6. \(\frac{26}{\sqrt{14}}\)
7. \(\frac{21}{\sqrt{6}}\)
8. \(\frac{60}{\sqrt{15}}\)
9. \(\frac{52}{\sqrt{11}}\)
10. \(\frac{8}{\sqrt{2}}\)
11. \(\frac{29}{\sqrt{5}}\)
12. \(\frac{32}{\sqrt{13}}\)

---

Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{43}{\sqrt{3}}=\frac{43\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{43\cdot\sqrt{3}}{3}\)
2. \(\frac{14}{\sqrt{19}}=\frac{14\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{14\cdot\sqrt{19}}{19}\)
3. \(\frac{8}{\sqrt{6}}=\frac{8\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{8\cdot\sqrt{6}}{6}=\frac{4\cdot\sqrt{6}}{3}\)
4. \(\frac{53}{\sqrt{3}}=\frac{53\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{53\cdot\sqrt{3}}{3}\)
5. \(\frac{59}{\sqrt{11}}=\frac{59\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{59\cdot\sqrt{11}}{11}\)
6. \(\frac{26}{\sqrt{14}}=\frac{26\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{26\cdot\sqrt{14}}{14}=\frac{13\cdot\sqrt{14}}{7}\)
7. \(\frac{21}{\sqrt{6}}=\frac{21\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{21\cdot\sqrt{6}}{6}=\frac{7\cdot\sqrt{6}}{2}\)
8. \(\frac{60}{\sqrt{15}}=\frac{60\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{60\cdot\sqrt{15}}{15}=4\cdot\sqrt{15}\)
9. \(\frac{52}{\sqrt{11}}=\frac{52\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{52\cdot\sqrt{11}}{11}\)
10. \(\frac{8}{\sqrt{2}}=\frac{8\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{8\cdot\sqrt{2}}{2}=4\cdot\sqrt{2}\)
11. \(\frac{29}{\sqrt{5}}=\frac{29\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{29\cdot\sqrt{5}}{5}\)
12. \(\frac{32}{\sqrt{13}}=\frac{32\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{32\cdot\sqrt{13}}{13}\)