Simplify \(\sqrt{3−2\sqrt{2}}\).

Given, \(\sqrt{3−2\sqrt{2}}\)

\(=\sqrt{3−2\sqrt{2} \times\sqrt{1}}~~~~~~~~(\sqrt{2}~\text{can be written as}~\sqrt{2} \times\sqrt{1}) \)

\(=\sqrt{2+1−2\sqrt{2} \times\sqrt{1}}\)

\(=\sqrt{(\sqrt{2})^{2}+(\sqrt{1})^{2}−2\sqrt{2} \times\sqrt{1}}\)

Using identity, \((a−b)^{2}= a^{2}−2ab+b^{2}\)

\(=\sqrt{(\sqrt{2}−\sqrt{1})^{2}}\)

\(= \sqrt{2}−\sqrt{1}\)

\(= \sqrt{2}− 1\)