化简:│1+根号2│-根号内(3-2√2)+根号2分之1

问题描述:

化简:│1+根号2│-根号内(3-2√2)+根号2分之1

=1+根号2-根号内(2-2√2+1)+根号2分之1
=1+根号2-根号内(√2-1)^2+根号2分之1
=1+√2-(√2-1)+1/√2
=2+1/√2

|1+根号2│-根号内(3-2√2)+根号2分之1
=1+根号2 -根号内(根号2-1)²+根号2/2
=1+根号2-根号2+1+根号2/2
=2+√2/2