Rekenen met wortels (reeks 3)

Hoofdmenu Eentje per keer 

Reken uit

  1. \(\frac{\sqrt{18}}{\sqrt{2}}\)
  2. \(\sqrt{3}\cdot\sqrt{12}\)
  3. \(-\frac{\sqrt{726}}{\sqrt{6}}\)
  4. \(-\frac{\sqrt{2890}}{\sqrt{10}}\)
  5. \(\frac{\sqrt{90}}{\sqrt{10}}\)
  6. \(-\sqrt{6}\cdot\sqrt{150}\)
  7. \(\sqrt{5}\cdot\sqrt{20}\)
  8. \(-\sqrt{3}\cdot\sqrt{48}\)
  9. \(-\sqrt{2}\cdot\sqrt{242}\)
  10. \(-\sqrt{5}\cdot\sqrt{245}\)
  11. \(\frac{\sqrt{1280}}{\sqrt{5}}\)
  12. \(\frac{\sqrt{1445}}{\sqrt{5}}\)

Reken uit

Verbetersleutel

  1. \(\frac{\sqrt{18}}{\sqrt{2}}=\sqrt{ \frac{18}{2}}=\sqrt{ 9}=3\)
  2. \(\sqrt{3}\cdot\sqrt{12}=\sqrt{3 \cdot 12}=\sqrt{3 \cdot 3 \cdot 4}=\sqrt{3 \cdot 3} \cdot \sqrt{4}=3\cdot2=6\)
  3. \(-\frac{\sqrt{726}}{\sqrt{6}}=-\sqrt{ \frac{726}{6}}=-\sqrt{ 121}=-11\)
  4. \(-\frac{\sqrt{2890}}{\sqrt{10}}=-\sqrt{ \frac{2890}{10}}=-\sqrt{ 289}=-17\)
  5. \(\frac{\sqrt{90}}{\sqrt{10}}=\sqrt{ \frac{90}{10}}=\sqrt{ 9}=3\)
  6. \(-\sqrt{6}\cdot\sqrt{150}=-\sqrt{6 \cdot 150}=-\sqrt{6 \cdot 6 \cdot 25}=-\sqrt{6 \cdot 6} \cdot \sqrt{25}=-6\cdot5=-30\)
  7. \(\sqrt{5}\cdot\sqrt{20}=\sqrt{5 \cdot 20}=\sqrt{5 \cdot 5 \cdot 4}=\sqrt{5 \cdot 5} \cdot \sqrt{4}=5\cdot2=10\)
  8. \(-\sqrt{3}\cdot\sqrt{48}=-\sqrt{3 \cdot 48}=-\sqrt{3 \cdot 3 \cdot 16}=-\sqrt{3 \cdot 3} \cdot \sqrt{16}=-3\cdot4=-12\)
  9. \(-\sqrt{2}\cdot\sqrt{242}=-\sqrt{2 \cdot 242}=-\sqrt{2 \cdot 2 \cdot 121}=-\sqrt{2 \cdot 2} \cdot \sqrt{121}=-2\cdot11=-22\)
  10. \(-\sqrt{5}\cdot\sqrt{245}=-\sqrt{5 \cdot 245}=-\sqrt{5 \cdot 5 \cdot 49}=-\sqrt{5 \cdot 5} \cdot \sqrt{49}=-5\cdot7=-35\)
  11. \(\frac{\sqrt{1280}}{\sqrt{5}}=\sqrt{ \frac{1280}{5}}=\sqrt{ 256}=16\)
  12. \(\frac{\sqrt{1445}}{\sqrt{5}}=\sqrt{ \frac{1445}{5}}=\sqrt{ 289}=17\)
Oefeningengenerator wiskundeoefeningen.be 2025-04-03 12:15:27
Een site van Busleyden Atheneum Mechelen