Rekenen met wortels (reeks 3)

Hoofdmenu Eentje per keer  🖨

Reken uit

1. \(-\frac{\sqrt{2890}}{\sqrt{10}}\)
2. \(-\frac{\sqrt{1183}}{\sqrt{7}}\)
3. \(-\sqrt{5}\cdot\sqrt{80}\)
4. \(-\frac{\sqrt{2475}}{\sqrt{11}}\)
5. \(-\frac{\sqrt{3757}}{\sqrt{13}}\)
6. \(-\frac{\sqrt{3179}}{\sqrt{11}}\)
7. \(-\frac{\sqrt{1859}}{\sqrt{11}}\)
8. \(\sqrt{2}\cdot\sqrt{98}\)
9. \(-\sqrt{6}\cdot\sqrt{726}\)
10. \(\sqrt{5}\cdot\sqrt{405}\)
11. \(-\frac{\sqrt{2548}}{\sqrt{13}}\)
12. \(\sqrt{10}\cdot\sqrt{90}\)

---

Reken uit

Verbetersleutel

1. \(-\frac{\sqrt{2890}}{\sqrt{10}}=-\sqrt{ \frac{2890}{10}}=-\sqrt{ 289}=-17\)
2. \(-\frac{\sqrt{1183}}{\sqrt{7}}=-\sqrt{ \frac{1183}{7}}=-\sqrt{ 169}=-13\)
3. \(-\sqrt{5}\cdot\sqrt{80}=-\sqrt{5 \cdot 80}=-\sqrt{5 \cdot 5 \cdot 16}=-\sqrt{5 \cdot 5} \cdot \sqrt{16}=-5\cdot4=-20\)
4. \(-\frac{\sqrt{2475}}{\sqrt{11}}=-\sqrt{ \frac{2475}{11}}=-\sqrt{ 225}=-15\)
5. \(-\frac{\sqrt{3757}}{\sqrt{13}}=-\sqrt{ \frac{3757}{13}}=-\sqrt{ 289}=-17\)
6. \(-\frac{\sqrt{3179}}{\sqrt{11}}=-\sqrt{ \frac{3179}{11}}=-\sqrt{ 289}=-17\)
7. \(-\frac{\sqrt{1859}}{\sqrt{11}}=-\sqrt{ \frac{1859}{11}}=-\sqrt{ 169}=-13\)
8. \(\sqrt{2}\cdot\sqrt{98}=\sqrt{2 \cdot 98}=\sqrt{2 \cdot 2 \cdot 49}=\sqrt{2 \cdot 2} \cdot \sqrt{49}=2\cdot7=14\)
9. \(-\sqrt{6}\cdot\sqrt{726}=-\sqrt{6 \cdot 726}=-\sqrt{6 \cdot 6 \cdot 121}=-\sqrt{6 \cdot 6} \cdot \sqrt{121}=-6\cdot11=-66\)
10. \(\sqrt{5}\cdot\sqrt{405}=\sqrt{5 \cdot 405}=\sqrt{5 \cdot 5 \cdot 81}=\sqrt{5 \cdot 5} \cdot \sqrt{81}=5\cdot9=45\)
11. \(-\frac{\sqrt{2548}}{\sqrt{13}}=-\sqrt{ \frac{2548}{13}}=-\sqrt{ 196}=-14\)
12. \(\sqrt{10}\cdot\sqrt{90}=\sqrt{10 \cdot 90}=\sqrt{10 \cdot 10 \cdot 9}=\sqrt{10 \cdot 10} \cdot \sqrt{9}=10\cdot3=30\)