5. Вычислите: √(25/36) · √(144/49)

\(\sqrt{\frac{25}{36}}=\frac{5}{6}\), \(\sqrt{\frac{144}{49}}=\frac{12}{7}\).

\(\frac{5}{6}\cdot\frac{12}{7}=\frac{60}{42}=\frac{10}{7}\).

Ответ: \(\frac{10}{7}\)