第6回小問模試・第6問 答え

$$ \begin{align} &\frac{8}{\sqrt{12}}+\sqrt{50}\div \sqrt{6}\\ &=\frac{8}{2\sqrt{3}} + 5\sqrt{2} \times \frac{1}{\sqrt{6}}\\ &=\frac{4}{\sqrt{3}} + 5\frac{\sqrt{2}}{\sqrt{6}}\\ &=\frac{4 \times \sqrt{3}}{3} + 5\frac{\sqrt{2} \times \sqrt{6}}{6}\\ &=\frac{4}{3}\sqrt{3} + \frac{5}{6}\sqrt{12}\\ &=\frac{4}{3}\sqrt{3} + \frac{5}{6}\times 2\sqrt{3}\\ &=\frac{4}{3}\sqrt{3} + \frac{5}{3}\sqrt{3}\\ &=\frac{9}{3}\sqrt{3}\\ &=3\sqrt{3} \end{align} $$