a: \(\sqrt{\dfrac{\left(x-2\right)^4}{\left(x-3\right)^2}}+\dfrac{x^2-1}{x-3}\)
\(=\dfrac{-\left(x-2\right)^2}{x-3}+\dfrac{x^2-4}{x-3}\)
\(=\dfrac{-x^2+4x-4+x^2-4}{x-3}\)
\(=\dfrac{4x}{x-3}\)
\(=\dfrac{4\cdot0.5}{0.5-3}=\dfrac{2}{-2.5}=-\dfrac{4}{5}\)
b: \(4x-\sqrt{8}+\dfrac{\sqrt{x^3+2x^2}}{\sqrt{x+2}}\)
\(=4x-2\sqrt{2}+x\)
\(=5x-2\sqrt{2}\)
\(=-5\sqrt{2}-2\sqrt{2}=-7\sqrt{2}\)

