Rekenen met wortels (reeks 3)

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1. $$\frac{\sqrt{4693}}{\sqrt{13}}$$
2. $$-\frac{\sqrt{2890}}{\sqrt{10}}$$
3. $$-\sqrt{10}\cdot\sqrt{490}$$
4. $$-\sqrt{5}\cdot\sqrt{45}$$
5. $$-\sqrt{2}\cdot\sqrt{18}$$
6. $$-\sqrt{3}\cdot\sqrt{12}$$
7. $$-\frac{\sqrt{448}}{\sqrt{7}}$$
8. $$-\frac{\sqrt{150}}{\sqrt{6}}$$
9. $$\frac{\sqrt{1805}}{\sqrt{5}}$$
10. $$-\sqrt{5}\cdot\sqrt{720}$$
11. $$\frac{\sqrt{810}}{\sqrt{10}}$$
12. $$\sqrt{2}\cdot\sqrt{242}$$

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Verbetersleutel

1. $$\frac{\sqrt{4693}}{\sqrt{13}}=\sqrt{ \frac{4693}{13}}=\sqrt{ 361}=19$$
2. $$-\frac{\sqrt{2890}}{\sqrt{10}}=-\sqrt{ \frac{2890}{10}}=-\sqrt{ 289}=-17$$
3. $$-\sqrt{10}\cdot\sqrt{490}=-\sqrt{10 \cdot 490}=-\sqrt{10 \cdot 10 \cdot 49}=-\sqrt{10 \cdot 10} \cdot \sqrt{49}=-10\cdot7=-70$$
4. $$-\sqrt{5}\cdot\sqrt{45}=-\sqrt{5 \cdot 45}=-\sqrt{5 \cdot 5 \cdot 9}=-\sqrt{5 \cdot 5} \cdot \sqrt{9}=-5\cdot3=-15$$
5. $$-\sqrt{2}\cdot\sqrt{18}=-\sqrt{2 \cdot 18}=-\sqrt{2 \cdot 2 \cdot 9}=-\sqrt{2 \cdot 2} \cdot \sqrt{9}=-2\cdot3=-6$$
6. $$-\sqrt{3}\cdot\sqrt{12}=-\sqrt{3 \cdot 12}=-\sqrt{3 \cdot 3 \cdot 4}=-\sqrt{3 \cdot 3} \cdot \sqrt{4}=-3\cdot2=-6$$
7. $$-\frac{\sqrt{448}}{\sqrt{7}}=-\sqrt{ \frac{448}{7}}=-\sqrt{ 64}=-8$$
8. $$-\frac{\sqrt{150}}{\sqrt{6}}=-\sqrt{ \frac{150}{6}}=-\sqrt{ 25}=-5$$
9. $$\frac{\sqrt{1805}}{\sqrt{5}}=\sqrt{ \frac{1805}{5}}=\sqrt{ 361}=19$$
10. $$-\sqrt{5}\cdot\sqrt{720}=-\sqrt{5 \cdot 720}=-\sqrt{5 \cdot 5 \cdot 144}=-\sqrt{5 \cdot 5} \cdot \sqrt{144}=-5\cdot12=-60$$
11. $$\frac{\sqrt{810}}{\sqrt{10}}=\sqrt{ \frac{810}{10}}=\sqrt{ 81}=9$$
12. $$\sqrt{2}\cdot\sqrt{242}=\sqrt{2 \cdot 242}=\sqrt{2 \cdot 2 \cdot 121}=\sqrt{2 \cdot 2} \cdot \sqrt{121}=2\cdot11=22$$
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 02:04:10