(1-√2)^2+(√2-1)^2(√2-1)^2+(-√2-1)^2

来源:百度知道 编辑:UC知道 时间:2024/06/08 00:47:43
题目有错 应为(1-√2)^2+(√2+1)^2(√2-1)^2+(-√2-1)^2

(1-√2)^2+(√2+1)^2(√2-1)^2+(-√2-1)^2
=1-2√2+2+(2+1+2√2)(2+1-2√2)+2+1+2√2
=6+(4+2-4√2+2+1-2√2+4√2+2√2-8)
=6+6+3-8=7

个题目好像有点错了吧?

YS = (√2-1)^2+(√2-1)^2(√2-1)^2+(√2+1)^2

= (√2-1)^2(1+(√2-1)^2)+(3+2√2)

= (3-2√2)(4-2√2)+(3+2√2)

= (20-14√2)+(3+2√2)

= 23-12√2.