\(\sqrt{\left(-7\right)^2}+\sqrt{\frac{25}{16}-\frac{3}{2}}\)
\(=7+\sqrt{\frac{1}{16}}\)
\(=7+\frac{1}{4}\)
\(=7\frac{1}{4}=\frac{29}{4}\)
\(\sqrt{\left(-7\right)^2}\)+ \(\sqrt{\frac{25}{16}}\)
= 7 +\(\frac{5}{4}\)
= \(8\frac{1}{4}\)
=\(\frac{33}{4}\)