\[\boxed{\mathbf{608\ (608).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[= \sqrt{(\sqrt{a} - 1)²} + \sqrt{(\sqrt{a} + 2)²} =\]
\[= \left| \sqrt{a} - 1 \right| + \left| \sqrt{a} + 2 \right|\]
\[при\ a > 1:\]
\[\sqrt{a} - 1 + \sqrt{a} + 2 = 2\sqrt{a} + 1.\]
\[при\ \ \ 0 \leq a \leq 1:\]
\[1 - \sqrt{a} + \sqrt{a} + 2 = 3.\]