`x=\sqrt{3+2\sqrt{2}}-\sqrt{3-2\sqrt{2}}`
`x=\sqrt{2+2\sqrt{2}+1}-\sqrt{2-2\sqrt{2}+1}`
`x=\sqrt{(\sqrt{2}+1)^2}-\sqrt{(\sqrt{2}-1)^2}`
`x=\sqrt{2}+1-\sqrt{2}+1`
`x=2`
`=>M=(\sqrt{2}+1)/(\sqrt{2}-1)`
`M=(\sqrt{2}+1)^2/(2-1)`
`M=(2+2\sqrt{2}+1)/1`
`M=3+2\sqrt{2}`