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