#### Answer

$77a/2$

#### Work Step by Step

We can simplify the expression as follows:
= $ 11\sqrt (49a^{5}/4a^{3})$
= $ 11(\sqrt 49\sqrt a^{5}/\sqrt 4\sqrt a^{3})$ (Using the Multiplication Theorem $\sqrt x *\sqrt y = \sqrt xy$)
= $ 11(7a^{2}\sqrt a/2a\sqrt a)$
= $ 11(7a/2)$ (Dividing by $a\sqrt a$)
= $ 77a/2$.