Reken uit
- \(-\sqrt{5}\cdot\sqrt{45}\)
- \(\sqrt{6}\cdot\sqrt{726}\)
- \(-\frac{\sqrt{1008}}{\sqrt{7}}\)
- \(-\sqrt{2}\cdot\sqrt{242}\)
- \(-\sqrt{5}\cdot\sqrt{605}\)
- \(\sqrt{6}\cdot\sqrt{150}\)
- \(-\frac{\sqrt{1014}}{\sqrt{6}}\)
- \(-\frac{\sqrt{112}}{\sqrt{7}}\)
- \(\frac{\sqrt{294}}{\sqrt{6}}\)
- \(-\sqrt{6}\cdot\sqrt{294}\)
- \(-\sqrt{10}\cdot\sqrt{1210}\)
- \(\sqrt{2}\cdot\sqrt{50}\)
Reken uit
Verbetersleutel
- \(-\sqrt{5}\cdot\sqrt{45}=-\sqrt{5 \cdot 45}=-\sqrt{5 \cdot 5 \cdot 9}=-\sqrt{5 \cdot 5} \cdot \sqrt{9}=-5\cdot3=-15\)
- \(\sqrt{6}\cdot\sqrt{726}=\sqrt{6 \cdot 726}=\sqrt{6 \cdot 6 \cdot 121}=\sqrt{6 \cdot 6} \cdot \sqrt{121}=6\cdot11=66\)
- \(-\frac{\sqrt{1008}}{\sqrt{7}}=-\sqrt{ \frac{1008}{7}}=-\sqrt{ 144}=-12\)
- \(-\sqrt{2}\cdot\sqrt{242}=-\sqrt{2 \cdot 242}=-\sqrt{2 \cdot 2 \cdot 121}=-\sqrt{2 \cdot 2} \cdot \sqrt{121}=-2\cdot11=-22\)
- \(-\sqrt{5}\cdot\sqrt{605}=-\sqrt{5 \cdot 605}=-\sqrt{5 \cdot 5 \cdot 121}=-\sqrt{5 \cdot 5} \cdot \sqrt{121}=-5\cdot11=-55\)
- \(\sqrt{6}\cdot\sqrt{150}=\sqrt{6 \cdot 150}=\sqrt{6 \cdot 6 \cdot 25}=\sqrt{6 \cdot 6} \cdot \sqrt{25}=6\cdot5=30\)
- \(-\frac{\sqrt{1014}}{\sqrt{6}}=-\sqrt{ \frac{1014}{6}}=-\sqrt{ 169}=-13\)
- \(-\frac{\sqrt{112}}{\sqrt{7}}=-\sqrt{ \frac{112}{7}}=-\sqrt{ 16}=-4\)
- \(\frac{\sqrt{294}}{\sqrt{6}}=\sqrt{ \frac{294}{6}}=\sqrt{ 49}=7\)
- \(-\sqrt{6}\cdot\sqrt{294}=-\sqrt{6 \cdot 294}=-\sqrt{6 \cdot 6 \cdot 49}=-\sqrt{6 \cdot 6} \cdot \sqrt{49}=-6\cdot7=-42\)
- \(-\sqrt{10}\cdot\sqrt{1210}=-\sqrt{10 \cdot 1210}=-\sqrt{10 \cdot 10 \cdot 121}=-\sqrt{10 \cdot 10} \cdot \sqrt{121}=-10\cdot11=-110\)
- \(\sqrt{2}\cdot\sqrt{50}=\sqrt{2 \cdot 50}=\sqrt{2 \cdot 2 \cdot 25}=\sqrt{2 \cdot 2} \cdot \sqrt{25}=2\cdot5=10\)