Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{41}{\sqrt{11}}\)
2. \(\frac{38}{\sqrt{13}}\)
3. \(\frac{27}{\sqrt{7}}\)
4. \(\frac{49}{\sqrt{15}}\)
5. \(\frac{34}{\sqrt{2}}\)
6. \(\frac{50}{\sqrt{15}}\)
7. \(\frac{52}{\sqrt{7}}\)
8. \(\frac{57}{\sqrt{3}}\)
9. \(\frac{47}{\sqrt{15}}\)
10. \(\frac{48}{\sqrt{14}}\)
11. \(\frac{60}{\sqrt{3}}\)
12. \(\frac{33}{\sqrt{10}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{41}{\sqrt{11}}=\frac{41\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{41\cdot\sqrt{11}}{11}\)
2. \(\frac{38}{\sqrt{13}}=\frac{38\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{38\cdot\sqrt{13}}{13}\)
3. \(\frac{27}{\sqrt{7}}=\frac{27\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{27\cdot\sqrt{7}}{7}\)
4. \(\frac{49}{\sqrt{15}}=\frac{49\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{49\cdot\sqrt{15}}{15}\)
5. \(\frac{34}{\sqrt{2}}=\frac{34\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{34\cdot\sqrt{2}}{2}=17\cdot\sqrt{2}\)
6. \(\frac{50}{\sqrt{15}}=\frac{50\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{50\cdot\sqrt{15}}{15}=\frac{10\cdot\sqrt{15}}{3}\)
7. \(\frac{52}{\sqrt{7}}=\frac{52\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{52\cdot\sqrt{7}}{7}\)
8. \(\frac{57}{\sqrt{3}}=\frac{57\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{57\cdot\sqrt{3}}{3}=19\cdot\sqrt{3}\)
9. \(\frac{47}{\sqrt{15}}=\frac{47\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{47\cdot\sqrt{15}}{15}\)
10. \(\frac{48}{\sqrt{14}}=\frac{48\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{48\cdot\sqrt{14}}{14}=\frac{24\cdot\sqrt{14}}{7}\)
11. \(\frac{60}{\sqrt{3}}=\frac{60\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{60\cdot\sqrt{3}}{3}=20\cdot\sqrt{3}\)
12. \(\frac{33}{\sqrt{10}}=\frac{33\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{33\cdot\sqrt{10}}{10}\)