Rekenen met wortels (reeks 3)

Hoofdmenu Eentje per keer  🖨

Reken uit

1. \(\frac{\sqrt{112}}{\sqrt{7}}\)
2. \(-\sqrt{10}\cdot\sqrt{90}\)
3. \(-\frac{\sqrt{50}}{\sqrt{2}}\)
4. \(\frac{\sqrt{3757}}{\sqrt{13}}\)
5. \(-\frac{\sqrt{2166}}{\sqrt{6}}\)
6. \(\frac{\sqrt{396}}{\sqrt{11}}\)
7. \(-\frac{\sqrt{99}}{\sqrt{11}}\)
8. \(\frac{\sqrt{147}}{\sqrt{3}}\)
9. \(\sqrt{6}\cdot\sqrt{726}\)
10. \(-\sqrt{5}\cdot\sqrt{45}\)
11. \(-\sqrt{5}\cdot\sqrt{320}\)
12. \(-\frac{\sqrt{490}}{\sqrt{10}}\)

---

Reken uit

Verbetersleutel

1. \(\frac{\sqrt{112}}{\sqrt{7}}=\sqrt{ \frac{112}{7}}=\sqrt{ 16}=4\)
2. \(-\sqrt{10}\cdot\sqrt{90}=-\sqrt{10 \cdot 90}=-\sqrt{10 \cdot 10 \cdot 9}=-\sqrt{10 \cdot 10} \cdot \sqrt{9}=-10\cdot3=-30\)
3. \(-\frac{\sqrt{50}}{\sqrt{2}}=-\sqrt{ \frac{50}{2}}=-\sqrt{ 25}=-5\)
4. \(\frac{\sqrt{3757}}{\sqrt{13}}=\sqrt{ \frac{3757}{13}}=\sqrt{ 289}=17\)
5. \(-\frac{\sqrt{2166}}{\sqrt{6}}=-\sqrt{ \frac{2166}{6}}=-\sqrt{ 361}=-19\)
6. \(\frac{\sqrt{396}}{\sqrt{11}}=\sqrt{ \frac{396}{11}}=\sqrt{ 36}=6\)
7. \(-\frac{\sqrt{99}}{\sqrt{11}}=-\sqrt{ \frac{99}{11}}=-\sqrt{ 9}=-3\)
8. \(\frac{\sqrt{147}}{\sqrt{3}}=\sqrt{ \frac{147}{3}}=\sqrt{ 49}=7\)
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. \(-\sqrt{5}\cdot\sqrt{45}=-\sqrt{5 \cdot 45}=-\sqrt{5 \cdot 5 \cdot 9}=-\sqrt{5 \cdot 5} \cdot \sqrt{9}=-5\cdot3=-15\)
11. \(-\sqrt{5}\cdot\sqrt{320}=-\sqrt{5 \cdot 320}=-\sqrt{5 \cdot 5 \cdot 64}=-\sqrt{5 \cdot 5} \cdot \sqrt{64}=-5\cdot8=-40\)
12. \(-\frac{\sqrt{490}}{\sqrt{10}}=-\sqrt{ \frac{490}{10}}=-\sqrt{ 49}=-7\)