0}|+|\sqrt{a+3}-1|=\sqrt{a+3}+1+|\sqrt{a+3}-1|=\\\\=\left \{ {{2\sqrt{a+3}\; ,\; esli\; a\geq -2\; ,} \atop {2\; ,\; esli\; a<-2\; .\qquad \; \; }} \right." alt="\sqrt{a+2\sqrt{a+3}+4}+\sqrt{a-2\sqrt{a+3}+4}=\\\\=\sqrt{(\sqrt{a+3}+1)^2}+\sqrt{(\sqrt{a+3}-1)^2}=\\\\=|\underbrace {\sqrt{a+3}+1}_{>0}|+|\sqrt{a+3}-1|=\sqrt{a+3}+1+|\sqrt{a+3}-1|=\\\\=\left \{ {{2\sqrt{a+3}\; ,\; esli\; a\geq -2\; ,} \atop {2\; ,\; esli\; a<-2\; .\qquad \; \; }} \right." align="absmiddle" class="latex-formula">