∵代数式根号下2x-1+根号下2-x有意义
∴2x-1≥0 2-x≥0
∴根号下(4x^2-4x+1)+2根号下(x-2)^4
=根号下(2x-1)²+2根号下(x-2)^4
=2x-1+2(2-x)
=2x-1+4-2x
=5
若代数式根号下2x-1+根号下2-x有意义,化简根号下4x^2-4x+1+2根号下(x-2)^4
∵代数式根号下2x-1+根号下2-x有意义
∴2x-1≥0 2-x≥0
∴根号下(4x^2-4x+1)+2根号下(x-2)^4
=根号下(2x-1)²+2根号下(x-2)^4
=2x-1+2(2-x)
=2x-1+4-2x
=5