Вычислите: \(\dfrac{\sqrt{200}}{5\sqrt{8}}\).

Упростим корни: \(\sqrt{200}=10\sqrt{2}\), а \(\sqrt{8}=2\sqrt{2}\).

\[\frac{\sqrt{200}}{5\sqrt{8}}=\frac{10\sqrt{2}}{5\cdot2\sqrt{2}}=\frac{10\sqrt{2}}{10\sqrt{2}}=1.\]

Ответ: 1.