(根号2+1)^2014×(根号2-1)^2015
=(根号2+1)^2014×(根号2-1)^2014×(根号2-1)
=【(根号2+1)×(根号2-1)】^2014×(根号2-1)
=【（根号2）²-1²】^2014×(根号2-1)
=（2-1）^2014×(根号2-1)
=1^2014×(根号2-1)
=1×(根号2-1)
=根号2-1