\(\sqrt{\left(3-\sqrt{5}\right)^2}+\sqrt{\left(2-\sqrt{5}\right)^2}\\ =\left|3-\sqrt{5}\right|+\left|2-\sqrt{5}\right|\\ =3-\sqrt{5}+\sqrt{5}-2\\ =1\)
\(\sqrt{\left(3-\sqrt{5}\right)^2}+\sqrt{\left(2-\sqrt{5}\right)^2}=\left|3-\sqrt{5}\right|+\left|2-\sqrt{5}\right|\)
\(=3-\sqrt{5}+\sqrt{5}-2=1\)
\(\sqrt{\left(3-\sqrt{5}\right)^2}+\sqrt{\left(2-\sqrt{5}\right)^2}\)
\(=|3-\sqrt{5}|+|2-\sqrt{5}|\)
\(=3-\sqrt{5}-2+\sqrt{5}=1\)