Rekenen met wortels (reeks 3)

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1. \(\sqrt{2}\cdot\sqrt{98}\)
2. \(\frac{\sqrt{722}}{\sqrt{2}}\)
3. \(-\frac{\sqrt{726}}{\sqrt{6}}\)
4. \(-\frac{\sqrt{150}}{\sqrt{6}}\)
5. \(-\sqrt{6}\cdot\sqrt{294}\)
6. \(-\frac{\sqrt{50}}{\sqrt{2}}\)
7. \(\frac{\sqrt{1584}}{\sqrt{11}}\)
8. \(-\sqrt{6}\cdot\sqrt{150}\)
9. \(-\frac{\sqrt{605}}{\sqrt{5}}\)
10. \(\frac{\sqrt{98}}{\sqrt{2}}\)
11. \(-\frac{\sqrt{2166}}{\sqrt{6}}\)
12. \(-\frac{\sqrt{1083}}{\sqrt{3}}\)

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Verbetersleutel

1. \(\sqrt{2}\cdot\sqrt{98}=\sqrt{2 \cdot 98}=\sqrt{2 \cdot 2 \cdot 49}=\sqrt{2 \cdot 2} \cdot \sqrt{49}=2\cdot7=14\)
2. \(\frac{\sqrt{722}}{\sqrt{2}}=\sqrt{ \frac{722}{2}}=\sqrt{ 361}=19\)
3. \(-\frac{\sqrt{726}}{\sqrt{6}}=-\sqrt{ \frac{726}{6}}=-\sqrt{ 121}=-11\)
4. \(-\frac{\sqrt{150}}{\sqrt{6}}=-\sqrt{ \frac{150}{6}}=-\sqrt{ 25}=-5\)
5. \(-\sqrt{6}\cdot\sqrt{294}=-\sqrt{6 \cdot 294}=-\sqrt{6 \cdot 6 \cdot 49}=-\sqrt{6 \cdot 6} \cdot \sqrt{49}=-6\cdot7=-42\)
6. \(-\frac{\sqrt{50}}{\sqrt{2}}=-\sqrt{ \frac{50}{2}}=-\sqrt{ 25}=-5\)
7. \(\frac{\sqrt{1584}}{\sqrt{11}}=\sqrt{ \frac{1584}{11}}=\sqrt{ 144}=12\)
8. \(-\sqrt{6}\cdot\sqrt{150}=-\sqrt{6 \cdot 150}=-\sqrt{6 \cdot 6 \cdot 25}=-\sqrt{6 \cdot 6} \cdot \sqrt{25}=-6\cdot5=-30\)
9. \(-\frac{\sqrt{605}}{\sqrt{5}}=-\sqrt{ \frac{605}{5}}=-\sqrt{ 121}=-11\)
10. \(\frac{\sqrt{98}}{\sqrt{2}}=\sqrt{ \frac{98}{2}}=\sqrt{ 49}=7\)
11. \(-\frac{\sqrt{2166}}{\sqrt{6}}=-\sqrt{ \frac{2166}{6}}=-\sqrt{ 361}=-19\)
12. \(-\frac{\sqrt{1083}}{\sqrt{3}}=-\sqrt{ \frac{1083}{3}}=-\sqrt{ 361}=-19\)