Reken uit
- \(\sqrt{3}\cdot\sqrt{48}\)
- \(-\sqrt{6}\cdot\sqrt{294}\)
- \(-\sqrt{6}\cdot\sqrt{150}\)
- \(\frac{\sqrt{1210}}{\sqrt{10}}\)
- \(\frac{\sqrt{980}}{\sqrt{5}}\)
- \(-\sqrt{5}\cdot\sqrt{20}\)
- \(-\sqrt{5}\cdot\sqrt{80}\)
- \(-\frac{\sqrt{150}}{\sqrt{6}}\)
- \(-\frac{\sqrt{845}}{\sqrt{5}}\)
- \(\frac{\sqrt{48}}{\sqrt{3}}\)
- \(\sqrt{5}\cdot\sqrt{180}\)
- \(-\sqrt{5}\cdot\sqrt{320}\)
Reken uit
Verbetersleutel
- \(\sqrt{3}\cdot\sqrt{48}=\sqrt{3 \cdot 48}=\sqrt{3 \cdot 3 \cdot 16}=\sqrt{3 \cdot 3} \cdot \sqrt{16}=3\cdot4=12\)
- \(-\sqrt{6}\cdot\sqrt{294}=-\sqrt{6 \cdot 294}=-\sqrt{6 \cdot 6 \cdot 49}=-\sqrt{6 \cdot 6} \cdot \sqrt{49}=-6\cdot7=-42\)
- \(-\sqrt{6}\cdot\sqrt{150}=-\sqrt{6 \cdot 150}=-\sqrt{6 \cdot 6 \cdot 25}=-\sqrt{6 \cdot 6} \cdot \sqrt{25}=-6\cdot5=-30\)
- \(\frac{\sqrt{1210}}{\sqrt{10}}=\sqrt{ \frac{1210}{10}}=\sqrt{ 121}=11\)
- \(\frac{\sqrt{980}}{\sqrt{5}}=\sqrt{ \frac{980}{5}}=\sqrt{ 196}=14\)
- \(-\sqrt{5}\cdot\sqrt{20}=-\sqrt{5 \cdot 20}=-\sqrt{5 \cdot 5 \cdot 4}=-\sqrt{5 \cdot 5} \cdot \sqrt{4}=-5\cdot2=-10\)
- \(-\sqrt{5}\cdot\sqrt{80}=-\sqrt{5 \cdot 80}=-\sqrt{5 \cdot 5 \cdot 16}=-\sqrt{5 \cdot 5} \cdot \sqrt{16}=-5\cdot4=-20\)
- \(-\frac{\sqrt{150}}{\sqrt{6}}=-\sqrt{ \frac{150}{6}}=-\sqrt{ 25}=-5\)
- \(-\frac{\sqrt{845}}{\sqrt{5}}=-\sqrt{ \frac{845}{5}}=-\sqrt{ 169}=-13\)
- \(\frac{\sqrt{48}}{\sqrt{3}}=\sqrt{ \frac{48}{3}}=\sqrt{ 16}=4\)
- \(\sqrt{5}\cdot\sqrt{180}=\sqrt{5 \cdot 180}=\sqrt{5 \cdot 5 \cdot 36}=\sqrt{5 \cdot 5} \cdot \sqrt{36}=5\cdot6=30\)
- \(-\sqrt{5}\cdot\sqrt{320}=-\sqrt{5 \cdot 320}=-\sqrt{5 \cdot 5 \cdot 64}=-\sqrt{5 \cdot 5} \cdot \sqrt{64}=-5\cdot8=-40\)