Rekenen met wortels (reeks 3)

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  1. \(\sqrt{5}\cdot\sqrt{605}\)
  2. \(\sqrt{6}\cdot\sqrt{294}\)
  3. \(\sqrt{5}\cdot\sqrt{245}\)
  4. \(-\frac{\sqrt{3179}}{\sqrt{11}}\)
  5. \(\frac{\sqrt{80}}{\sqrt{5}}\)
  6. \(\frac{\sqrt{1445}}{\sqrt{5}}\)
  7. \(-\sqrt{10}\cdot\sqrt{490}\)
  8. \(\frac{\sqrt{704}}{\sqrt{11}}\)
  9. \(-\frac{\sqrt{325}}{\sqrt{13}}\)
  10. \(-\sqrt{6}\cdot\sqrt{150}\)
  11. \(-\frac{\sqrt{90}}{\sqrt{10}}\)
  12. \(-\frac{\sqrt{567}}{\sqrt{7}}\)

Reken uit

Verbetersleutel

  1. \(\sqrt{5}\cdot\sqrt{605}=\sqrt{5 \cdot 605}=\sqrt{5 \cdot 5 \cdot 121}=\sqrt{5 \cdot 5} \cdot \sqrt{121}=5\cdot11=55\)
  2. \(\sqrt{6}\cdot\sqrt{294}=\sqrt{6 \cdot 294}=\sqrt{6 \cdot 6 \cdot 49}=\sqrt{6 \cdot 6} \cdot \sqrt{49}=6\cdot7=42\)
  3. \(\sqrt{5}\cdot\sqrt{245}=\sqrt{5 \cdot 245}=\sqrt{5 \cdot 5 \cdot 49}=\sqrt{5 \cdot 5} \cdot \sqrt{49}=5\cdot7=35\)
  4. \(-\frac{\sqrt{3179}}{\sqrt{11}}=-\sqrt{ \frac{3179}{11}}=-\sqrt{ 289}=-17\)
  5. \(\frac{\sqrt{80}}{\sqrt{5}}=\sqrt{ \frac{80}{5}}=\sqrt{ 16}=4\)
  6. \(\frac{\sqrt{1445}}{\sqrt{5}}=\sqrt{ \frac{1445}{5}}=\sqrt{ 289}=17\)
  7. \(-\sqrt{10}\cdot\sqrt{490}=-\sqrt{10 \cdot 490}=-\sqrt{10 \cdot 10 \cdot 49}=-\sqrt{10 \cdot 10} \cdot \sqrt{49}=-10\cdot7=-70\)
  8. \(\frac{\sqrt{704}}{\sqrt{11}}=\sqrt{ \frac{704}{11}}=\sqrt{ 64}=8\)
  9. \(-\frac{\sqrt{325}}{\sqrt{13}}=-\sqrt{ \frac{325}{13}}=-\sqrt{ 25}=-5\)
  10. \(-\sqrt{6}\cdot\sqrt{150}=-\sqrt{6 \cdot 150}=-\sqrt{6 \cdot 6 \cdot 25}=-\sqrt{6 \cdot 6} \cdot \sqrt{25}=-6\cdot5=-30\)
  11. \(-\frac{\sqrt{90}}{\sqrt{10}}=-\sqrt{ \frac{90}{10}}=-\sqrt{ 9}=-3\)
  12. \(-\frac{\sqrt{567}}{\sqrt{7}}=-\sqrt{ \frac{567}{7}}=-\sqrt{ 81}=-9\)
Oefeningengenerator vanhoeckes.be/wiskunde 2024-03-28 15:00:30