\(D=\left|\sqrt{8}-3\right|+\left|\sqrt{19}-4\right|-\left(\sqrt{19}-\sqrt{8}\right)\)
\(D=\left(3-2\sqrt{2}\right)+\sqrt{19}-4-\left(\sqrt{19}-\sqrt{8}\right)\)
\(D=\left(3-2\sqrt{2}\right)+\sqrt{19}-4-\left(\sqrt{19}-2\sqrt{2}\right)\)
\(D=-2\sqrt{2}+3+\sqrt{19}-4-\left(\sqrt{19}-2\sqrt{2}\right)\)
\(D=-2\sqrt{2}+3+\sqrt{19}-4-\sqrt{19}+2\sqrt{2}\)
\(D=-2\sqrt{2}+3-4+2\sqrt{2}\)
\(D=3-4\)
\(D=-1\)