`M = (2+\sqrt2 + 1)(2 - \sqrt2 - 1). \sqrt11 + 6\sqrt2`
`= [(2+(\sqrt2+1)][2-(\sqrt2+1)] . \sqrt11 + 6\sqrt2`
`= (2^2 - (\sqrt2+1)^2) . \sqrt11 + 6\sqrt2`
`= ( 1- 2\sqrt2) . \sqrt11 + 6\sqrt2`
`= -2\sqrt22 + \sqrt11 + 6\sqrt2`
`N = \sqrt2 + \sqrt8 + \sqrt32 + \sqrt128 - \sqrt162 - \sqrt72`
`= \sqrt2 + 2\sqrt2 + 4\sqrt2 + 8\sqrt2 - 9\sqrt2 - 6\sqrt2`
`= 0`