# Rekenen met wortels (reeks 3)

#### Reken uit

1. $$\sqrt{10}\cdot\sqrt{1210}$$
2. $$\frac{\sqrt{176}}{\sqrt{11}}$$
3. $$-\sqrt{10}\cdot\sqrt{810}$$
4. $$-\sqrt{5}\cdot\sqrt{320}$$
5. $$-\frac{\sqrt{1210}}{\sqrt{10}}$$
6. $$-\frac{\sqrt{1053}}{\sqrt{13}}$$
7. $$-\frac{\sqrt{2475}}{\sqrt{11}}$$
8. $$-\frac{\sqrt{162}}{\sqrt{2}}$$
9. $$\sqrt{10}\cdot\sqrt{490}$$
10. $$\frac{\sqrt{1734}}{\sqrt{6}}$$
11. $$\frac{\sqrt{605}}{\sqrt{5}}$$
12. $$-\frac{\sqrt{4400}}{\sqrt{11}}$$

#### Reken uit

##### Verbetersleutel

1. $$\sqrt{10}\cdot\sqrt{1210}=\sqrt{10 \cdot 1210}=\sqrt{10 \cdot 10 \cdot 121}=\sqrt{10 \cdot 10} \cdot \sqrt{121}=10\cdot11=110$$
2. $$\frac{\sqrt{176}}{\sqrt{11}}=\sqrt{ \frac{176}{11}}=\sqrt{ 16}=4$$
3. $$-\sqrt{10}\cdot\sqrt{810}=-\sqrt{10 \cdot 810}=-\sqrt{10 \cdot 10 \cdot 81}=-\sqrt{10 \cdot 10} \cdot \sqrt{81}=-10\cdot9=-90$$
4. $$-\sqrt{5}\cdot\sqrt{320}=-\sqrt{5 \cdot 320}=-\sqrt{5 \cdot 5 \cdot 64}=-\sqrt{5 \cdot 5} \cdot \sqrt{64}=-5\cdot8=-40$$
5. $$-\frac{\sqrt{1210}}{\sqrt{10}}=-\sqrt{ \frac{1210}{10}}=-\sqrt{ 121}=-11$$
6. $$-\frac{\sqrt{1053}}{\sqrt{13}}=-\sqrt{ \frac{1053}{13}}=-\sqrt{ 81}=-9$$
7. $$-\frac{\sqrt{2475}}{\sqrt{11}}=-\sqrt{ \frac{2475}{11}}=-\sqrt{ 225}=-15$$
8. $$-\frac{\sqrt{162}}{\sqrt{2}}=-\sqrt{ \frac{162}{2}}=-\sqrt{ 81}=-9$$
9. $$\sqrt{10}\cdot\sqrt{490}=\sqrt{10 \cdot 490}=\sqrt{10 \cdot 10 \cdot 49}=\sqrt{10 \cdot 10} \cdot \sqrt{49}=10\cdot7=70$$
10. $$\frac{\sqrt{1734}}{\sqrt{6}}=\sqrt{ \frac{1734}{6}}=\sqrt{ 289}=17$$
11. $$\frac{\sqrt{605}}{\sqrt{5}}=\sqrt{ \frac{605}{5}}=\sqrt{ 121}=11$$
12. $$-\frac{\sqrt{4400}}{\sqrt{11}}=-\sqrt{ \frac{4400}{11}}=-\sqrt{ 400}=-20$$
Oefeningengenerator vanhoeckes.be/wiskunde 2024-08-09 04:02:07