(2√2-3)^2010×(2√2+3)^2011
=(2√2-3)^2010×(2√2+3)^2010×(2√2+3)
=[(2√2-3)(2√2+3)]^2010 ×(2√2+3)
=(-1)^2010 ×(2√2+3)
=2√2+3