`\sqrt{11-6\sqrt{2}}-\sqrt{3-2\sqrt{2}}`
`=\sqrt{9-6\sqrt{2}+2}-\sqrt{2-2\sqrt{2}+1}`
`=\sqrt{3^2-2.3.\sqrt{2}+(\sqrt{2})^2}-\sqrt{(\sqrt{2})^2-2.1.\sqrt{2}+1^2}`
`=\sqrt{(3-\sqrt{2})^2}-\sqrt{(\sqrt{2}-1)^2}`
`=|3-\sqrt{2}|-|\sqrt{2}-1|`
`=3-\sqrt{2}-\sqrt{2}+1`
`=4-2\sqrt{2}`