(2√2-3)^2010(2√2+3)^2009
=(2√2-3)^2009(2√2+3)^2009×(2√2-3)
=[(2√2-3)(2√2+3)] ^ 2009×(2√2-3)
=(-1)^ 2009×(2√2-3)
=3-2√2