Reken uit
- \(\sqrt{5}\cdot\sqrt{605}\)
- \(\sqrt{6}\cdot\sqrt{294}\)
- \(\sqrt{5}\cdot\sqrt{245}\)
- \(-\frac{\sqrt{3179}}{\sqrt{11}}\)
- \(\frac{\sqrt{80}}{\sqrt{5}}\)
- \(\frac{\sqrt{1445}}{\sqrt{5}}\)
- \(-\sqrt{10}\cdot\sqrt{490}\)
- \(\frac{\sqrt{704}}{\sqrt{11}}\)
- \(-\frac{\sqrt{325}}{\sqrt{13}}\)
- \(-\sqrt{6}\cdot\sqrt{150}\)
- \(-\frac{\sqrt{90}}{\sqrt{10}}\)
- \(-\frac{\sqrt{567}}{\sqrt{7}}\)
Reken uit
Verbetersleutel
- \(\sqrt{5}\cdot\sqrt{605}=\sqrt{5 \cdot 605}=\sqrt{5 \cdot 5 \cdot 121}=\sqrt{5 \cdot 5} \cdot \sqrt{121}=5\cdot11=55\)
- \(\sqrt{6}\cdot\sqrt{294}=\sqrt{6 \cdot 294}=\sqrt{6 \cdot 6 \cdot 49}=\sqrt{6 \cdot 6} \cdot \sqrt{49}=6\cdot7=42\)
- \(\sqrt{5}\cdot\sqrt{245}=\sqrt{5 \cdot 245}=\sqrt{5 \cdot 5 \cdot 49}=\sqrt{5 \cdot 5} \cdot \sqrt{49}=5\cdot7=35\)
- \(-\frac{\sqrt{3179}}{\sqrt{11}}=-\sqrt{ \frac{3179}{11}}=-\sqrt{ 289}=-17\)
- \(\frac{\sqrt{80}}{\sqrt{5}}=\sqrt{ \frac{80}{5}}=\sqrt{ 16}=4\)
- \(\frac{\sqrt{1445}}{\sqrt{5}}=\sqrt{ \frac{1445}{5}}=\sqrt{ 289}=17\)
- \(-\sqrt{10}\cdot\sqrt{490}=-\sqrt{10 \cdot 490}=-\sqrt{10 \cdot 10 \cdot 49}=-\sqrt{10 \cdot 10} \cdot \sqrt{49}=-10\cdot7=-70\)
- \(\frac{\sqrt{704}}{\sqrt{11}}=\sqrt{ \frac{704}{11}}=\sqrt{ 64}=8\)
- \(-\frac{\sqrt{325}}{\sqrt{13}}=-\sqrt{ \frac{325}{13}}=-\sqrt{ 25}=-5\)
- \(-\sqrt{6}\cdot\sqrt{150}=-\sqrt{6 \cdot 150}=-\sqrt{6 \cdot 6 \cdot 25}=-\sqrt{6 \cdot 6} \cdot \sqrt{25}=-6\cdot5=-30\)
- \(-\frac{\sqrt{90}}{\sqrt{10}}=-\sqrt{ \frac{90}{10}}=-\sqrt{ 9}=-3\)
- \(-\frac{\sqrt{567}}{\sqrt{7}}=-\sqrt{ \frac{567}{7}}=-\sqrt{ 81}=-9\)