Ответ:

\(\sqrt{\dfrac{49}{16}}=\dfrac{7}{4}\), \(\sqrt{\dfrac{25}{36}}=\dfrac{5}{6}\).

\(\dfrac{7}{4}+\dfrac{5}{6}=\dfrac{21}{12}+\dfrac{10}{12}=\dfrac{31}{12}\).

Ответ: \(\dfrac{31}{12}\).