算术平方根有意义,2x-3≥0x≥3/2>1√(4x²-4x+1)-[√(2x-3)]²=√(2x-1)²-(2x-3)=2x-1-2x+3=2
由√(2x-3)则2x-3≥0x≥3/2所以2x-1>0所以原式=√(2x-1)²-[√(2x-3)]²=|2x-1|-(2x-3)=2x-1-2x+3=2